427426257456 has 480 divisors, whose sum is σ = 1406542475520. Its totient is φ = 124467840000.

The previous prime is 427426257449. The next prime is 427426257497. The reversal of 427426257456 is 654752624724.

It is a happy number.

427426257456 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 2 + 62 + 574 + 5 + 6 = 666.

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 95 ways as a sum of consecutive naturals, for example, 311307586 + ... + 311308958.

It is an arithmetic number, because the mean of its divisors is an integer number (2930296824).

Almost surely, 2^427426257456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427426257456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703271237760).

427426257456 is an abundant number, since it is smaller than the sum of its proper divisors (979116218064).

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

427426257456 is a wasteful number, since it uses less digits than its factorization.

427426257456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1669 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 54.

The spelling of 427426257456 in words is "four hundred twenty-seven billion, four hundred twenty-six million, two hundred fifty-seven thousand, four hundred fifty-six".