403113484800 has 1440 divisors, whose sum is σ = 1691820049920. Its totient is φ = 90773913600.

The previous prime is 403113484799. The next prime is 403113484811. The reversal of 403113484800 is 8484311304.

403113484800 is a `hidden beast` number, since 40 + 3 + 1 + 134 + 8 + 480 + 0 = 666.

403113484800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 882086172 + ... + 882086628.

Almost surely, 2^403113484800 is an apocalyptic number.

403113484800 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 403113484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845910024960).

403113484800 is an abundant number, since it is smaller than the sum of its proper divisors (1288706565120).

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

403113484800 is a wasteful number, since it uses less digits than its factorization.

403113484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 403113484800 in words is "four hundred three billion, one hundred thirteen million, four hundred eighty-four thousand, eight hundred".