426368013762240 has 1344 divisors, whose sum is σ = 1748636600256000. Its totient is φ = 97797784043520.

The previous prime is 426368013762227. The next prime is 426368013762241. The reversal of 426368013762240 is 42267310863624.

426368013762240 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 6 + 8 + 0 + 1 + 3 + 7 + 622 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (426368013762241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13147722346 + ... + 13147754774.

It is an arithmetic number, because the mean of its divisors is an integer number (1301068899000).

Almost surely, 2^{426368013762240} is an apocalyptic number.

426368013762240 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 426368013762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874318300128000).

426368013762240 is an abundant number, since it is smaller than the sum of its proper divisors (1322268586493760).

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

426368013762240 is a wasteful number, since it uses less digits than its factorization.

426368013762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33300 (or 33278 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 426368013762240 in words is "four hundred twenty-six trillion, three hundred sixty-eight billion, thirteen million, seven hundred sixty-two thousand, two hundred forty".