403798996800 has 840 divisors, whose sum is σ = 1540580351904. Its totient is φ = 103658434560.

The previous prime is 403798996781. The next prime is 403798996807. The reversal of 403798996800 is 8699897304.

403798996800 is a `hidden beast` number, since 403 + 79 + 89 + 9 + 6 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403798996807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 513086007 + ... + 513086793.

Almost surely, 2^403798996800 is an apocalyptic number.

403798996800 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 403798996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770290175952).

403798996800 is an abundant number, since it is smaller than the sum of its proper divisors (1136781355104).

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

403798996800 is a wasteful number, since it uses less digits than its factorization.

403798996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 403798996800 in words is "four hundred three billion, seven hundred ninety-eight million, nine hundred ninety-six thousand, eight hundred".