400754834704 has 135 divisors (see below), whose sum is σ = 945171779223. Its totient is φ = 164117464896.

The previous prime is 400754834693. The next prime is 400754834707. The reversal of 400754834704 is 407438457004.

The square root of 400754834704 is 633052.

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

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (400754834707) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 407684997 + ... + 407685979.

Almost surely, 2^400754834704 is an apocalyptic number.

400754834704 is the 633052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400754834704

400754834704 is an abundant number, since it is smaller than the sum of its proper divisors (544416944519).

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

400754834704 is an frugal number, since it uses more digits than its factorization.

400754834704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 46.

The spelling of 400754834704 in words is "four hundred billion, seven hundred fifty-four million, eight hundred thirty-four thousand, seven hundred four".