426630834000 has 640 divisors, whose sum is σ = 1770653813760. Its totient is φ = 96173568000.

The previous prime is 426630833983. The next prime is 426630834013. The reversal of 426630834000 is 438036624.

It is a happy number.

426630834000 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 308 + 340 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27586270 + ... + 27601730.

It is an arithmetic number, because the mean of its divisors is an integer number (2766646584).

Almost surely, 2^426630834000 is an apocalyptic number.

426630834000 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 426630834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885326906880).

426630834000 is an abundant number, since it is smaller than the sum of its proper divisors (1344022979760).

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

426630834000 is a wasteful number, since it uses less digits than its factorization.

426630834000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15573 (or 15551 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 426630834000 in words is "four hundred twenty-six billion, six hundred thirty million, eight hundred thirty-four thousand".