400501653904 has 135 divisors (see below), whose sum is σ = 901372185441. Its totient is φ = 172237000320.

The previous prime is 400501653883. The next prime is 400501653907. The reversal of 400501653904 is 409356105004.

The square root of 400501653904 is 632852.

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

It can be written as a sum of positive squares in only one way, i.e., 247426656400 + 153074997504 = 497420^2 + 391248^2 .

It is not an unprimeable number, because it can be changed into a prime (400501653907) 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, 529063894 + ... + 529064650.

Almost surely, 2^400501653904 is an apocalyptic number.

400501653904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

400501653904 is the 632852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400501653904

400501653904 is an abundant number, since it is smaller than the sum of its proper divisors (500870531537).

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

400501653904 is an equidigital number, since it uses as much as digits as its factorization.

400501653904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

Adding to 400501653904 its reverse (409356105004), we get a palindrome (809857758908).

The spelling of 400501653904 in words is "four hundred billion, five hundred one million, six hundred fifty-three thousand, nine hundred four".