40387200 has 192 divisors, whose sum is σ = 152281920. Its totient is φ = 9216000.

The previous prime is 40387183. The next prime is 40387229. The reversal of 40387200 is 278304.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×40387200² = 3262251847680000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66900 + ... + 67500.

It is an arithmetic number, because the mean of its divisors is an integer number (793135).

Almost surely, 2^40387200 is an apocalyptic number.

40387200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76140960).

40387200 is an abundant number, since it is smaller than the sum of its proper divisors (111894720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40387200 is a wasteful number, since it uses less digits than its factorization.

40387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 40387200 is about 6355.0924462198. The cubic root of 40387200 is about 343.0951521975.

The spelling of 40387200 in words is "forty million, three hundred eighty-seven thousand, two hundred".