40904253504 has 175 divisors, whose sum is σ = 123584810107. Its totient is φ = 13377491712.

The previous prime is 40904253499. The next prime is 40904253521. The reversal of 40904253504 is 40535240904.

It is a happy number.

The square root of 40904253504 is 202248.

It is a perfect power (a square), and thus also a powerful number.

40904253504 is a `hidden beast` number, since 40 + 90 + 4 + 25 + 3 + 504 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7983779904 + 32920473600 = 89352^2 + 181440^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=318.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 771778342 + ... + 771778394.

Almost surely, 2^40904253504 is an apocalyptic number.

40904253504 is the 202248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40904253504

40904253504 is an abundant number, since it is smaller than the sum of its proper divisors (82680556603).

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

40904253504 is an frugal number, since it uses more digits than its factorization.

40904253504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 40904253504 by its sum of digits (36), we get a square (1472553126144 = 1213488²).

40904253504 divided by its sum of digits (36) gives a square (1136229264 = 33708²).

The spelling of 40904253504 in words is "forty billion, nine hundred four million, two hundred fifty-three thousand, five hundred four".