401073120 has 240 divisors, whose sum is σ = 1618027488. Its totient is φ = 91653120.

The previous prime is 401073097. The next prime is 401073131. The reversal of 401073120 is 21370104.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 401073093 and 401073102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88510 + ... + 92930.

Almost surely, 2^401073120 is an apocalyptic number.

401073120 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 401073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809013744).

401073120 is an abundant number, since it is smaller than the sum of its proper divisors (1216954368).

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

401073120 is a wasteful number, since it uses less digits than its factorization.

401073120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 401073120 is about 20026.8100305565. The cubic root of 401073120 is about 737.4646126849.

The spelling of 401073120 in words is "four hundred one million, seventy-three thousand, one hundred twenty".