400501613616 has 320 divisors, whose sum is σ = 1208010682368. Its totient is φ = 113218043904.

The previous prime is 400501613593. The next prime is 400501613627. The reversal of 400501613616 is 616316105004.

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 63 ways as a sum of consecutive naturals, for example, 250782930 + ... + 250784526.

Almost surely, 2^400501613616 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 400501613616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604005341184).

400501613616 is an abundant number, since it is smaller than the sum of its proper divisors (807509068752).

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

400501613616 is a wasteful number, since it uses less digits than its factorization.

400501613616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 400501613616 in words is "four hundred billion, five hundred one million, six hundred thirteen thousand, six hundred sixteen".