401145962112 has 384 divisors, whose sum is σ = 1379662200000. Its totient is φ = 114411128832.

The previous prime is 401145962111. The next prime is 401145962141. The reversal of 401145962112 is 211269541104.

401145962112 is a `hidden beast` number, since 4 + 0 + 1 + 14 + 5 + 9 + 621 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (401145962111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114644139 + ... + 114647637.

Almost surely, 2^401145962112 is an apocalyptic number.

401145962112 is a gapful number since it is divisible by the number (42) 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 401145962112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689831100000).

401145962112 is an abundant number, since it is smaller than the sum of its proper divisors (978516237888).

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

401145962112 is a wasteful number, since it uses less digits than its factorization.

401145962112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4213 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 401145962112 in words is "four hundred one billion, one hundred forty-five million, nine hundred sixty-two thousand, one hundred twelve".