400370034672 has 240 divisors, whose sum is σ = 1210928209920. Its totient is φ = 123087168000.

The previous prime is 400370034611. The next prime is 400370034689. The reversal of 400370034672 is 276430073004.

It is a happy number.

It is a super-3 number, since 3×400370034672³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24552922 + ... + 24569222.

It is an arithmetic number, because the mean of its divisors is an integer number (5045534208).

Almost surely, 2^400370034672 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 400370034672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605464104960).

400370034672 is an abundant number, since it is smaller than the sum of its proper divisors (810558175248).

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

400370034672 is a wasteful number, since it uses less digits than its factorization.

400370034672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16572 (or 16563 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 400370034672 in words is "four hundred billion, three hundred seventy million, thirty-four thousand, six hundred seventy-two".