400892983434 has 96 divisors (see below), whose sum is σ = 942179382144. Its totient is φ = 122702469120.

The previous prime is 400892983427. The next prime is 400892983481. The reversal of 400892983434 is 434389298004.

400892983434 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 9 + 298 + 343 + 4 = 666.

It is a super-2 number, since 2×400892983434² (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 47 ways as a sum of consecutive naturals, for example, 11574907 + ... + 11609489.

It is an arithmetic number, because the mean of its divisors is an integer number (9814368564).

Almost surely, 2^400892983434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400892983434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471089691072).

400892983434 is an abundant number, since it is smaller than the sum of its proper divisors (541286398710).

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

400892983434 is a wasteful number, since it uses less digits than its factorization.

400892983434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35532 (or 35529 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 400892983434 in words is "four hundred billion, eight hundred ninety-two million, nine hundred eighty-three thousand, four hundred thirty-four".