403374981120 has 240 divisors, whose sum is σ = 1304144425248. Its totient is φ = 106451435520.

The previous prime is 403374981083. The next prime is 403374981127. The reversal of 403374981120 is 21189473304.

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

It is a super-2 number, since 2×403374981120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403374981127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23830260 + ... + 23847180.

Almost surely, 2^403374981120 is an apocalyptic number.

403374981120 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 403374981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652072212624).

403374981120 is an abundant number, since it is smaller than the sum of its proper divisors (900769444128).

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

403374981120 is an equidigital number, since it uses as much as digits as its factorization.

403374981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17054 (or 17028 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 403374981120 in words is "four hundred three billion, three hundred seventy-four million, nine hundred eighty-one thousand, one hundred twenty".