401527238112 has 1152 divisors, whose sum is σ = 1597740318720. Its totient is φ = 92275200000.

The previous prime is 401527238087. The next prime is 401527238149. The reversal of 401527238112 is 211832725104.

401527238112 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 272 + 381 + 1 + 2 = 666.

It is a super-2 number, since 2×401527238112² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1599709987 + ... + 1599710237.

It is an arithmetic number, because the mean of its divisors is an integer number (1386927360).

Almost surely, 2^401527238112 is an apocalyptic number.

401527238112 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 401527238112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798870159360).

401527238112 is an abundant number, since it is smaller than the sum of its proper divisors (1196213080608).

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

401527238112 is a wasteful number, since it uses less digits than its factorization.

401527238112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 401527238112 in words is "four hundred one billion, five hundred twenty-seven million, two hundred thirty-eight thousand, one hundred twelve".