403982853120 has 1056 divisors, whose sum is σ = 1788402260736. Its totient is φ = 81867571200.

The previous prime is 403982853101. The next prime is 403982853193. The reversal of 403982853120 is 21358289304.

403982853120 is a `hidden beast` number, since 4 + 0 + 3 + 98 + 2 + 8 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×403982853120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145473172 + ... + 145475948.

Almost surely, 2^403982853120 is an apocalyptic number.

403982853120 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 403982853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894201130368).

403982853120 is an abundant number, since it is smaller than the sum of its proper divisors (1384419407616).

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

403982853120 is a wasteful number, since it uses less digits than its factorization.

403982853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 403982853120 in words is "four hundred three billion, nine hundred eighty-two million, eight hundred fifty-three thousand, one hundred twenty".