427659994839000 has 2048 divisors, whose sum is σ = 1779361003929600. Its totient is φ = 82833408000000.

The previous prime is 427659994838851. The next prime is 427659994839013. The reversal of 427659994839000 is 938499956724.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

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, 199747777930 + ... + 199747780070.

It is an arithmetic number, because the mean of its divisors is an integer number (868828615200).

Almost surely, 2^{427659994839000} is an apocalyptic number.

427659994839000 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 427659994839000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889680501964800).

427659994839000 is an abundant number, since it is smaller than the sum of its proper divisors (1351701009090600).

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

427659994839000 is a wasteful number, since it uses less digits than its factorization.

427659994839000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 75.

The spelling of 427659994839000 in words is "four hundred twenty-seven trillion, six hundred fifty-nine billion, nine hundred ninety-four million, eight hundred thirty-nine thousand".