427423950116352 has 640 divisors, whose sum is σ = 1520754242641920. Its totient is φ = 115951850127360.

The previous prime is 427423950116323. The next prime is 427423950116441. The reversal of 427423950116352 is 253611059324724.

It is a happy number.

427423950116352 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 23 + 9 + 501 + 1 + 63 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157645638 + ... + 160334010.

It is an arithmetic number, because the mean of its divisors is an integer number (2376178504128).

Almost surely, 2^{427423950116352} is an apocalyptic number.

427423950116352 is a gapful number since it is divisible by the number (42) 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 427423950116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760377121320960).

427423950116352 is an abundant number, since it is smaller than the sum of its proper divisors (1093330292525568).

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

427423950116352 is a wasteful number, since it uses less digits than its factorization.

427423950116352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688491 (or 2688469 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 427423950116352 in words is "four hundred twenty-seven trillion, four hundred twenty-three billion, nine hundred fifty million, one hundred sixteen thousand, three hundred fifty-two".