427374168978120 has 1024 divisors, whose sum is σ = 1641451392000000. Its totient is φ = 88428631560192.

The previous prime is 427374168978077. The next prime is 427374168978137. The reversal of 427374168978120 is 21879861473724.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13227696526 + ... + 13227728834.

It is an arithmetic number, because the mean of its divisors is an integer number (1602979875000).

Almost surely, 2^{427374168978120} is an apocalyptic number.

427374168978120 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 427374168978120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820725696000000).

427374168978120 is an abundant number, since it is smaller than the sum of its proper divisors (1214077223021880).

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

427374168978120 is a wasteful number, since it uses less digits than its factorization.

427374168978120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32835 (or 32817 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 69.

The spelling of 427374168978120 in words is "four hundred twenty-seven trillion, three hundred seventy-four billion, one hundred sixty-eight million, nine hundred seventy-eight thousand, one hundred twenty".