40401574400 has 240 divisors, whose sum is σ = 115628135040. Its totient is φ = 13826457600.

The previous prime is 40401574363. The next prime is 40401574403. The reversal of 40401574400 is 447510404.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40401574403) 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 23 ways as a sum of consecutive naturals, for example, 2385161 + ... + 2402039.

It is an arithmetic number, because the mean of its divisors is an integer number (481783896).

Almost surely, 2^40401574400 is an apocalyptic number.

40401574400 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 40401574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57814067520).

40401574400 is an abundant number, since it is smaller than the sum of its proper divisors (75226560640).

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

40401574400 is a wasteful number, since it uses less digits than its factorization.

40401574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16935 (or 16914 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 29.

The spelling of 40401574400 in words is "forty billion, four hundred one million, five hundred seventy-four thousand, four hundred".