401511541296 has 120 divisors (see below), whose sum is σ = 1095177337200. Its totient is φ = 126738173952.

The previous prime is 401511541289. The next prime is 401511541307. The reversal of 401511541296 is 692145115104.

It is a super-2 number, since 2×401511541296² (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 23 ways as a sum of consecutive naturals, for example, 62256280 + ... + 62262728.

It is an arithmetic number, because the mean of its divisors is an integer number (9126477810).

Almost surely, 2^401511541296 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 401511541296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547588668600).

401511541296 is an abundant number, since it is smaller than the sum of its proper divisors (693665795904).

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

401511541296 is a wasteful number, since it uses less digits than its factorization.

401511541296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10091 (or 10066 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 401511541296 in words is "four hundred one billion, five hundred eleven million, five hundred forty-one thousand, two hundred ninety-six".