427060408320 has 2496 divisors, whose sum is σ = 2019612801024. Its totient is φ = 84085309440.

The previous prime is 427060408261. The next prime is 427060408331. The reversal of 427060408320 is 23804060724.

427060408320 is a `hidden beast` number, since 4 + 27 + 0 + 604 + 0 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10416107500 + ... + 10416107540.

It is an arithmetic number, because the mean of its divisors is an integer number (809139744).

Almost surely, 2^427060408320 is an apocalyptic number.

427060408320 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 427060408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009806400512).

427060408320 is an abundant number, since it is smaller than the sum of its proper divisors (1592552392704).

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

427060408320 is a wasteful number, since it uses less digits than its factorization.

427060408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 427060408320 in words is "four hundred twenty-seven billion, sixty million, four hundred eight thousand, three hundred twenty".