402461468792320 has 160 divisors (see below), whose sum is σ = 1102854393926208. Its totient is φ = 137982021992448.

The previous prime is 402461468792293. The next prime is 402461468792321. The reversal of 402461468792320 is 23297864164204.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402461468792321) 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 15 ways as a sum of consecutive naturals, for example, 539252052 + ... + 539997868.

Almost surely, 2^{402461468792320} is an apocalyptic number.

402461468792320 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 402461468792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551427196963104).

402461468792320 is an abundant number, since it is smaller than the sum of its proper divisors (700392925133888).

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

402461468792320 is an equidigital number, since it uses as much as digits as its factorization.

402461468792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775960 (or 775944 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 58.

The spelling of 402461468792320 in words is "four hundred two trillion, four hundred sixty-one billion, four hundred sixty-eight million, seven hundred ninety-two thousand, three hundred twenty".