40881600 has 252 divisors, whose sum is σ = 154771344. Its totient is φ = 10199040.

The previous prime is 40881571. The next prime is 40881601. The reversal of 40881600 is 618804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40881601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244717 + ... + 244883.

It is an arithmetic number, because the mean of its divisors is an integer number (614172).

Almost surely, 2^40881600 is an apocalyptic number.

40881600 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 40881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77385672).

40881600 is an abundant number, since it is smaller than the sum of its proper divisors (113889744).

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

40881600 is a wasteful number, since it uses less digits than its factorization.

40881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 40881600 is about 6393.8720662835. The cubic root of 40881600 is about 344.4894780600.

The spelling of 40881600 in words is "forty million, eight hundred eighty-one thousand, six hundred".