402740193300480 has 624 divisors, whose sum is σ = 1610060987208960. Its totient is φ = 91210329096192.

The previous prime is 402740193300479. The next prime is 402740193300503. The reversal of 402740193300480 is 84003391047204.

402740193300480 is a `hidden beast` number, since 4 + 0 + 274 + 0 + 1 + 9 + 330 + 0 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139204309 + ... + 142068011.

It is an arithmetic number, because the mean of its divisors is an integer number (2580225941040).

Almost surely, 2^{402740193300480} is an apocalyptic number.

402740193300480 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 402740193300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805030493604480).

402740193300480 is an abundant number, since it is smaller than the sum of its proper divisors (1207320793908480).

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

402740193300480 is a wasteful number, since it uses less digits than its factorization.

402740193300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863854 (or 2863829 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 402740193300480 in words is "four hundred two trillion, seven hundred forty billion, one hundred ninety-three million, three hundred thousand, four hundred eighty".