40025604096 has 135 divisors (see below), whose sum is σ = 115848351073. Its totient is φ = 13316259840.

The previous prime is 40025604077. The next prime is 40025604109. The reversal of 40025604096 is 69040652004.

The square root of 40025604096 is 200064.

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

40025604096 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 560 + 4 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11478122496 + 28547481600 = 107136^2 + 168960^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40025604096.

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 8 ways as a sum of consecutive naturals, for example, 76824316 + ... + 76824836.

Almost surely, 2^40025604096 is an apocalyptic number.

40025604096 is the 200064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40025604096

40025604096 is an abundant number, since it is smaller than the sum of its proper divisors (75822746977).

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

40025604096 is an frugal number, since it uses more digits than its factorization.

40025604096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 40025604096 by its sum of digits (36), we get a square (1440921747456 = 1200384²).

40025604096 divided by its sum of digits (36) gives a square (1111822336 = 33344²).

The spelling of 40025604096 in words is "forty billion, twenty-five million, six hundred four thousand, ninety-six".