40400092800 has 576 divisors, whose sum is σ = 152953781760. Its totient is φ = 10135756800.

The previous prime is 40400092721. The next prime is 40400092807. The reversal of 40400092800 is 829000404.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×40400092800² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40400092807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33032989 + ... + 33034211.

It is an arithmetic number, because the mean of its divisors is an integer number (265544760).

Almost surely, 2^40400092800 is an apocalyptic number.

40400092800 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 40400092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76476890880).

40400092800 is an abundant number, since it is smaller than the sum of its proper divisors (112553688960).

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

40400092800 is a wasteful number, since it uses less digits than its factorization.

40400092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 40400092800 in words is "forty billion, four hundred million, ninety-two thousand, eight hundred".