426162523812480 has 960 divisors, whose sum is σ = 1906560348988680. Its totient is φ = 89915602452480.

The previous prime is 426162523812439. The next prime is 426162523812511. The reversal of 426162523812480 is 84218325261624.

426162523812480 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 6 + 252 + 381 + 2 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 304256016300096 + 121906507512384 = 17442936^2 + 11041128^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×426162523812480² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26569390 + ... + 39474770.

Almost surely, 2^{426162523812480} is an apocalyptic number.

426162523812480 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 426162523812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953280174494340).

426162523812480 is an abundant number, since it is smaller than the sum of its proper divisors (1480397825176200).

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

426162523812480 is a wasteful number, since it uses less digits than its factorization.

426162523812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12905439 (or 12905411 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 426162523812480 in words is "four hundred twenty-six trillion, one hundred sixty-two billion, five hundred twenty-three million, eight hundred twelve thousand, four hundred eighty".