40204058400 has 576 divisors, whose sum is σ = 160658467200. Its totient is φ = 9741772800.

The previous prime is 40204058347. The next prime is 40204058449. The reversal of 40204058400 is 485040204.

40204058400 is a `hidden beast` number, since 4 + 0 + 204 + 0 + 58 + 400 = 666.

It is a super-2 number, since 2×40204058400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19244556 + ... + 19246644.

It is an arithmetic number, because the mean of its divisors is an integer number (278920950).

Almost surely, 2^40204058400 is an apocalyptic number.

40204058400 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 40204058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80329233600).

40204058400 is an abundant number, since it is smaller than the sum of its proper divisors (120454408800).

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

40204058400 is a wasteful number, since it uses less digits than its factorization.

40204058400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 40204058400 its reverse (485040204), we get a palindrome (40689098604).

The spelling of 40204058400 in words is "forty billion, two hundred four million, fifty-eight thousand, four hundred".