352430814000 has 320 divisors, whose sum is σ = 1169244056448. Its totient is φ = 91287040000.

The previous prime is 352430813957. The next prime is 352430814023. The reversal of 352430814000 is 418034253.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32112514 + ... + 32123486.

Almost surely, 2^352430814000 is an apocalyptic number.

352430814000 is a gapful number since it is divisible by the number (30) 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 352430814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584622028224).

352430814000 is an abundant number, since it is smaller than the sum of its proper divisors (816813242448).

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

352430814000 is a wasteful number, since it uses less digits than its factorization.

352430814000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11153 (or 11137 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 352430814000 its reverse (418034253), we get a palindrome (352848848253).

The spelling of 352430814000 in words is "three hundred fifty-two billion, four hundred thirty million, eight hundred fourteen thousand".