400235054111424 has 336 divisors, whose sum is σ = 1319382645504768. Its totient is φ = 113631294818304.

The previous prime is 400235054111393. The next prime is 400235054111443. The reversal of 400235054111424 is 424111450532004.

400235054111424 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 3 + 505 + 4 + 1 + 1 + 142 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 478265014 + ... + 479101130.

Almost surely, 2^{400235054111424} 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 400235054111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659691322752384).

400235054111424 is an abundant number, since it is smaller than the sum of its proper divisors (919147591393344).

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

400235054111424 is a wasteful number, since it uses less digits than its factorization.

400235054111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836892 (or 836879 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 400235054111424 in words is "four hundred trillion, two hundred thirty-five billion, fifty-four million, one hundred eleven thousand, four hundred twenty-four".