400694584320 has 440 divisors, whose sum is σ = 1474726416504. Its totient is φ = 103960018944.

The previous prime is 400694584319. The next prime is 400694584321. The reversal of 400694584320 is 23485496004.

400694584320 is a `hidden beast` number, since 4 + 0 + 0 + 69 + 4 + 584 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (400694584319) and next prime (400694584321).

It can be written as a sum of positive squares in 4 ways, for example, as 133149090816 + 267545493504 = 364896^2 + 517248^2 .

It is a super-2 number, since 2×400694584320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400694584321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15331584 + ... + 15357696.

Almost surely, 2^400694584320 is an apocalyptic number.

400694584320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400694584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737363208252).

400694584320 is an abundant number, since it is smaller than the sum of its proper divisors (1074031832184).

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

400694584320 is a wasteful number, since it uses less digits than its factorization.

400694584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26187 (or 26160 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 400694584320 in words is "four hundred billion, six hundred ninety-four million, five hundred eighty-four thousand, three hundred twenty".