401113152 has 336 divisors, whose sum is σ = 1355140800. Its totient is φ = 112250880.

The previous prime is 401113103. The next prime is 401113157. The reversal of 401113152 is 251311104.

401113152 is a `hidden beast` number, since 401 + 113 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401113157) 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, 6798499 + ... + 6798557.

Almost surely, 2^401113152 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 401113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677570400).

401113152 is an abundant number, since it is smaller than the sum of its proper divisors (954027648).

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

401113152 is a wasteful number, since it uses less digits than its factorization.

401113152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 401113152 is about 20027.8094658402. The cubic root of 401113152 is about 737.4891478629.

Adding to 401113152 its reverse (251311104), we get a palindrome (652424256).

The spelling of 401113152 in words is "four hundred one million, one hundred thirteen thousand, one hundred fifty-two".