401699904804 has 315 divisors, whose sum is σ = 1171446407985. Its totient is φ = 120472323840.

The previous prime is 401699904799. The next prime is 401699904863. The reversal of 401699904804 is 408409996104.

It is a happy number.

The square root of 401699904804 is 633798.

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

401699904804 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 180378584100 + 221321320704 = 424710^2 + 470448^2 .

It is a super-2 number, since 2×401699904804² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 4141236084 + ... + 4141236180.

Almost surely, 2^401699904804 is an apocalyptic number.

401699904804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

401699904804 is the 633798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401699904804

401699904804 is an abundant number, since it is smaller than the sum of its proper divisors (769746503181).

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

401699904804 is an frugal number, since it uses more digits than its factorization.

401699904804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 401699904804 in words is "four hundred one billion, six hundred ninety-nine million, nine hundred four thousand, eight hundred four".