401894352432 has 120 divisors (see below), whose sum is σ = 1168172134480. Its totient is φ = 133925254848.

The previous prime is 401894352367. The next prime is 401894352449. The reversal of 401894352432 is 234253498104.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

401894352432 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 94 + 3 + 524 + 32 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118586194 + ... + 118589582.

Almost surely, 2^401894352432 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 401894352432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584086067240).

401894352432 is an abundant number, since it is smaller than the sum of its proper divisors (766277782048).

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

401894352432 is an frugal number, since it uses more digits than its factorization.

401894352432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6807 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 401894352432 in words is "four hundred one billion, eight hundred ninety-four million, three hundred fifty-two thousand, four hundred thirty-two".