400600778862960 has 360 divisors, whose sum is σ = 1456959326831424. Its totient is φ = 98598647347200.

The previous prime is 400600778862953. The next prime is 400600778862971. The reversal of 400600778862960 is 69268877006004.

400600778862960 is a `hidden beast` number, since 400 + 6 + 0 + 0 + 7 + 7 + 88 + 62 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×400600778862960² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1143251785 + ... + 1143602135.

Almost surely, 2^{400600778862960} is an apocalyptic number.

400600778862960 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 400600778862960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728479663415712).

400600778862960 is an abundant number, since it is smaller than the sum of its proper divisors (1056358547968464).

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

400600778862960 is a wasteful number, since it uses less digits than its factorization.

400600778862960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359793 (or 359771 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 400600778862960 in words is "four hundred trillion, six hundred billion, seven hundred seventy-eight million, eight hundred sixty-two thousand, nine hundred sixty".