426998628000 has 1536 divisors, whose sum is σ = 1898046259200. Its totient is φ = 92210918400.

The previous prime is 426998627947. The next prime is 426998628061. The reversal of 426998628000 is 826899624.

It is a happy number.

426998628000 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 9 + 8 + 628 + 0 + 0 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 1163483817 + ... + 1163484183.

It is an arithmetic number, because the mean of its divisors is an integer number (1235707200).

Almost surely, 2^426998628000 is an apocalyptic number.

426998628000 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 426998628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949023129600).

426998628000 is an abundant number, since it is smaller than the sum of its proper divisors (1471047631200).

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

426998628000 is an equidigital number, since it uses as much as digits as its factorization.

426998628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 426998628000 in words is "four hundred twenty-six billion, nine hundred ninety-eight million, six hundred twenty-eight thousand".