401008128 has 80 divisors (see below), whose sum is σ = 1114857216. Its totient is φ = 127846400.

The previous prime is 401008117. The next prime is 401008163. The reversal of 401008128 is 821800104.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 401008098 and 401008107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29653 + ... + 41003.

Almost surely, 2^401008128 is an apocalyptic number.

401008128 is a gapful number since it is divisible by the number (48) 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 401008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557428608).

401008128 is an abundant number, since it is smaller than the sum of its proper divisors (713849088).

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

401008128 is a wasteful number, since it uses less digits than its factorization.

401008128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11395 (or 11379 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 401008128 is about 20025.1873399477. The cubic root of 401008128 is about 737.4247763169.

The spelling of 401008128 in words is "four hundred one million, eight thousand, one hundred twenty-eight".