351020390400 has 576 divisors, whose sum is σ = 1331114803200. Its totient is φ = 90574848000.

The previous prime is 351020390393. The next prime is 351020390449. The reversal of 351020390400 is 4093020153.

351020390400 is a `hidden beast` number, since 3 + 51 + 0 + 203 + 9 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 42850305 + ... + 42858495.

It is an arithmetic number, because the mean of its divisors is an integer number (2310963200).

Almost surely, 2^351020390400 is an apocalyptic number.

351020390400 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 351020390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665557401600).

351020390400 is an abundant number, since it is smaller than the sum of its proper divisors (980094412800).

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

351020390400 is a wasteful number, since it uses less digits than its factorization.

351020390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8263 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 351020390400 in words is "three hundred fifty-one billion, twenty million, three hundred ninety thousand, four hundred".