427149556704000 has 4608 divisors, whose sum is σ = 1903419108864000. Its totient is φ = 93194551296000.

The previous prime is 427149556703993. The next prime is 427149556704041. The reversal of 427149556704000 is 407655941724.

427149556704000 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 49 + 556 + 7 + 0 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×427149556704000² (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 511 ways as a sum of consecutive naturals, for example, 1019450015791 + ... + 1019450016209.

It is an arithmetic number, because the mean of its divisors is an integer number (413068383000).

Almost surely, 2^{427149556704000} is an apocalyptic number.

427149556704000 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 427149556704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951709554432000).

427149556704000 is an abundant number, since it is smaller than the sum of its proper divisors (1476269552160000).

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

427149556704000 is a wasteful number, since it uses less digits than its factorization.

427149556704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 427149556704000 in words is "four hundred twenty-seven trillion, one hundred forty-nine billion, five hundred fifty-six million, seven hundred four thousand".