351402416640 has 960 divisors, whose sum is σ = 1394696983680. Its totient is φ = 84085309440.

The previous prime is 351402416611. The next prime is 351402416713. The reversal of 351402416640 is 46614204153.

351402416640 is a `hidden beast` number, since 3 + 5 + 1 + 4 + 0 + 2 + 4 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 351402416595 and 351402416604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 609016032 + ... + 609016608.

It is an arithmetic number, because the mean of its divisors is an integer number (1452809358).

Almost surely, 2^351402416640 is an apocalyptic number.

351402416640 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 351402416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697348491840).

351402416640 is an abundant number, since it is smaller than the sum of its proper divisors (1043294567040).

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

351402416640 is an equidigital number, since it uses as much as digits as its factorization.

351402416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 351402416640 in words is "three hundred fifty-one billion, four hundred two million, four hundred sixteen thousand, six hundred forty".