351440798016 has 336 divisors, whose sum is σ = 1218075604992. Its totient is φ = 88337894400.

The previous prime is 351440797969. The next prime is 351440798017. The reversal of 351440798016 is 610897044153.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351440798017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3153355 + ... + 3262901.

Almost surely, 2^351440798016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351440798016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609037802496).

351440798016 is an abundant number, since it is smaller than the sum of its proper divisors (866634806976).

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

351440798016 is a wasteful number, since it uses less digits than its factorization.

351440798016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109618 (or 109601 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 351440798016 in words is "three hundred fifty-one billion, four hundred forty million, seven hundred ninety-eight thousand, sixteen".