401513534016 has 168 divisors, whose sum is σ = 1281365179200. Its totient is φ = 108680223744.

The previous prime is 401513533999. The next prime is 401513534017. The reversal of 401513534016 is 610435315104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×401513534016² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401513534017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71410 + ... + 898958.

Almost surely, 2^401513534016 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 401513534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640682589600).

401513534016 is an abundant number, since it is smaller than the sum of its proper divisors (879851645184).

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

401513534016 is a wasteful number, since it uses less digits than its factorization.

401513534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827609 (or 827580 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 401513534016 in words is "four hundred one billion, five hundred thirteen million, five hundred thirty-four thousand, sixteen".