401157120 has 528 divisors, whose sum is σ = 1646574048. Its totient is φ = 82575360.

The previous prime is 401157101. The next prime is 401157131. The reversal of 401157120 is 21751104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9784300 + ... + 9784340.

Almost surely, 2^401157120 is an apocalyptic number.

401157120 is a gapful number since it is divisible by the number (40) 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 401157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823287024).

401157120 is an abundant number, since it is smaller than the sum of its proper divisors (1245416928).

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

401157120 is a wasteful number, since it uses less digits than its factorization.

401157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 401157120 is about 20028.9071094755. The cubic root of 401157120 is about 737.5160934916.

The spelling of 401157120 in words is "four hundred one million, one hundred fifty-seven thousand, one hundred twenty".