427154330977920 has 3072 divisors, whose sum is σ = 1942876938240000. Its totient is φ = 87882740563968.

The previous prime is 427154330977903. The next prime is 427154330977951. The reversal of 427154330977920 is 29779033451724.

427154330977920 is a `hidden beast` number, since 4 + 27 + 1 + 5 + 433 + 0 + 97 + 7 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 82478145891 + ... + 82478151069.

It is an arithmetic number, because the mean of its divisors is an integer number (632446920000).

Almost surely, 2^{427154330977920} is an apocalyptic number.

427154330977920 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 427154330977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971438469120000).

427154330977920 is an abundant number, since it is smaller than the sum of its proper divisors (1515722607262080).

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

427154330977920 is a wasteful number, since it uses less digits than its factorization.

427154330977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420 (or 5395 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 427154330977920 in words is "four hundred twenty-seven trillion, one hundred fifty-four billion, three hundred thirty million, nine hundred seventy-seven thousand, nine hundred twenty".