351461440000 has 600 divisors, whose sum is σ = 1000988784180. Its totient is φ = 123002880000.

The previous prime is 351461439983. The next prime is 351461440003. The reversal of 351461440000 is 44164153.

It can be written as a sum of positive squares in 10 ways, for example, as 120092743936 + 231368696064 = 346544^2 + 481008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351461440003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1122879844 + ... + 1122880156.

Almost surely, 2^351461440000 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 351461440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500494392090).

351461440000 is an abundant number, since it is smaller than the sum of its proper divisors (649527344180).

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

351461440000 is an equidigital number, since it uses as much as digits as its factorization.

351461440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 351461440000 in words is "three hundred fifty-one billion, four hundred sixty-one million, four hundred forty thousand".