402398979840000 has 5760 divisors, whose sum is σ = 1807122430713600. Its totient is φ = 88146247680000.

The previous prime is 402398979839981. The next prime is 402398979840007. The reversal of 402398979840000 is 48979893204.

402398979840000 is a `hidden beast` number, since 40 + 23 + 9 + 89 + 7 + 98 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a self number, because there is not a number n which added to its sum of digits gives 402398979840000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402398979840007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3691733759946 + ... + 3691733760054.

It is an arithmetic number, because the mean of its divisors is an integer number (313736533110).

Almost surely, 2^{402398979840000} is an apocalyptic number.

402398979840000 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 402398979840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903561215356800).

402398979840000 is an abundant number, since it is smaller than the sum of its proper divisors (1404723450873600).

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

402398979840000 is a wasteful number, since it uses less digits than its factorization.

402398979840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 402398979840000 in words is "four hundred two trillion, three hundred ninety-eight billion, nine hundred seventy-nine million, eight hundred forty thousand".