401177824996 has 81 divisors (see below), whose sum is σ = 808133403441. Its totient is φ = 174145680384.

The previous prime is 401177824981. The next prime is 401177824997. The reversal of 401177824996 is 699428771104.

The square root of 401177824996 is 633386.

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

It can be written as a sum of positive squares in 13 ways, for example, as 99407784100 + 301770040896 = 315290^2 + 549336^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 401177824996.

It is not an unprimeable number, because it can be changed into a prime (401177824997) 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, 279955896 + ... + 279957328.

Almost surely, 2^401177824996 is an apocalyptic number.

401177824996 is the 633386-th square number.

It is an amenable number.

401177824996 is an abundant number, since it is smaller than the sum of its proper divisors (406955578445).

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

401177824996 is a wasteful number, since it uses less digits than its factorization.

401177824996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 58.

The spelling of 401177824996 in words is "four hundred one billion, one hundred seventy-seven million, eight hundred twenty-four thousand, nine hundred ninety-six".