351959040000 has 1200 divisors, whose sum is σ = 1392151868800. Its totient is φ = 87588864000.

The previous prime is 351959039909. The next prime is 351959040053. The reversal of 351959040000 is 40959153.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5253119967 + ... + 5253120033.

Almost surely, 2^351959040000 is an apocalyptic number.

351959040000 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 351959040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696075934400).

351959040000 is an abundant number, since it is smaller than the sum of its proper divisors (1040192828800).

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

351959040000 is an frugal number, since it uses more digits than its factorization.

351959040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

Adding to 351959040000 its reverse (40959153), we get a palindrome (351999999153).

The spelling of 351959040000 in words is "three hundred fifty-one billion, nine hundred fifty-nine million, forty thousand".