400364951616 has 672 divisors, whose sum is σ = 1383126967040. Its totient is φ = 108355387392.

The previous prime is 400364951599. The next prime is 400364951629. The reversal of 400364951616 is 616159463004.

400364951616 is a `hidden beast` number, since 40 + 0 + 364 + 95 + 161 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×400364951616² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1056371715 + ... + 1056372093.

Almost surely, 2^400364951616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400364951616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691563483520).

400364951616 is an abundant number, since it is smaller than the sum of its proper divisors (982762015424).

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

400364951616 is a wasteful number, since it uses less digits than its factorization.

400364951616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 400364951616 in words is "four hundred billion, three hundred sixty-four million, nine hundred fifty-one thousand, six hundred sixteen".