401034120 has 128 divisors (see below), whose sum is σ = 1266330240. Its totient is φ = 101468160.

The previous prime is 401034119. The next prime is 401034133. The reversal of 401034120 is 21430104.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 401034120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180939 + ... + 183141.

It is an arithmetic number, because the mean of its divisors is an integer number (9893205).

Almost surely, 2^401034120 is an apocalyptic number.

401034120 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 401034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633165120).

401034120 is an abundant number, since it is smaller than the sum of its proper divisors (865296120).

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

401034120 is a wasteful number, since it uses less digits than its factorization.

401034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 401034120 is about 20025.8363121244. The cubic root of 401034120 is about 737.4407084384.

Adding to 401034120 its reverse (21430104), we get a palindrome (422464224).

The spelling of 401034120 in words is "four hundred one million, thirty-four thousand, one hundred twenty".