430556990640 has 240 divisors, whose sum is σ = 1559314849248. Its totient is φ = 97990029312.

The previous prime is 430556990627. The next prime is 430556990723. The reversal of 430556990640 is 46099655034.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2661514 + ... + 2818646.

Almost surely, 2^430556990640 is an apocalyptic number.

430556990640 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 430556990640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779657424624).

430556990640 is an abundant number, since it is smaller than the sum of its proper divisors (1128757858608).

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

430556990640 is a wasteful number, since it uses less digits than its factorization.

430556990640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157396 (or 157383 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 51.

The spelling of 430556990640 in words is "four hundred thirty billion, five hundred fifty-six million, nine hundred ninety thousand, six hundred forty".