40623208704 has 729 divisors, whose sum is σ = 142193155923. Its totient is φ = 11145019392.

The previous prime is 40623208693. The next prime is 40623208709. The reversal of 40623208704 is 40780232604.

The square root of 40623208704 is 201552.

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

40623208704 is a `hidden beast` number, since 4 + 0 + 623 + 20 + 8 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 366799104 + 40256409600 = 19152^2 + 200640^2 .

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

It is not an unprimeable number, because it can be changed into a prime (40623208709) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2138063607 + ... + 2138063625.

Almost surely, 2^40623208704 is an apocalyptic number.

40623208704 is the 201552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40623208704

40623208704 is an abundant number, since it is smaller than the sum of its proper divisors (101569947219).

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

40623208704 is a wasteful number, since it uses less digits than its factorization.

40623208704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Multiplying 40623208704 by its sum of digits (36), we get a square (1462435513344 = 1209312²).

40623208704 divided by its sum of digits (36) gives a square (1128422464 = 33592²).

The spelling of 40623208704 in words is "forty billion, six hundred twenty-three million, two hundred eight thousand, seven hundred four".