401610145456 has 80 divisors (see below), whose sum is σ = 874796509440. Its totient is φ = 177220834560.

The previous prime is 401610145427. The next prime is 401610145457. The reversal of 401610145456 is 654541016104.

It is a super-2 number, since 2×401610145456² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401610145457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11516815 + ... + 11551633.

It is an arithmetic number, because the mean of its divisors is an integer number (10934956368).

Almost surely, 2^401610145456 is an apocalyptic number.

401610145456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401610145456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437398254720).

401610145456 is an abundant number, since it is smaller than the sum of its proper divisors (473186363984).

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

401610145456 is a wasteful number, since it uses less digits than its factorization.

401610145456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37274 (or 37268 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 401610145456 in words is "four hundred one billion, six hundred ten million, one hundred forty-five thousand, four hundred fifty-six".