400100120 has 32 divisors (see below), whose sum is σ = 1028829600. Its totient is φ = 137177088.

The previous prime is 400100033. The next prime is 400100171. The reversal of 400100120 is 21001004.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 400100098 and 400100107.

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, 714185 + ... + 714744.

It is an arithmetic number, because the mean of its divisors is an integer number (32150925).

Almost surely, 2^400100120 is an apocalyptic number.

400100120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400100120 is an abundant number, since it is smaller than the sum of its proper divisors (628729480).

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

400100120 is a wasteful number, since it uses less digits than its factorization.

400100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428947 (or 1428943 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 400100120 is about 20002.5028433944. The cubic root of 400100120 is about 736.8677688054.

Adding to 400100120 its reverse (21001004), we get a palindrome (421101124).

The spelling of 400100120 in words is "four hundred million, one hundred thousand, one hundred twenty".