40388400 has 180 divisors, whose sum is σ = 151115328. Its totient is φ = 9930240.

The previous prime is 40388393. The next prime is 40388419. The reversal of 40388400 is 488304.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×40388400³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46369 + ... + 47231.

Almost surely, 2^40388400 is an apocalyptic number.

40388400 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 40388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75557664).

40388400 is an abundant number, since it is smaller than the sum of its proper divisors (110726928).

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

40388400 is a wasteful number, since it uses less digits than its factorization.

40388400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40388400 is about 6355.1868579925. The cubic root of 40388400 is about 343.0985502221.

The spelling of 40388400 in words is "forty million, three hundred eighty-eight thousand, four hundred".