354314451041000 has 128 divisors (see below), whose sum is σ = 842947277571360. Its totient is φ = 139369531392000.

The previous prime is 354314451040997. The next prime is 354314451041011. The reversal of 354314451041000 is 140154413453.

It can be written as a sum of positive squares in 16 ways, for example, as 46141832957284 + 308172618083716 = 6792778^2 + 17554846^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17399780 + ... + 31802220.

Almost surely, 2^{354314451041000} 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 354314451041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421473638785680).

354314451041000 is an abundant number, since it is smaller than the sum of its proper divisors (488632826530360).

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

354314451041000 is a wasteful number, since it uses less digits than its factorization.

354314451041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14402872 (or 14402858 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 354314451041000 in words is "three hundred fifty-four trillion, three hundred fourteen billion, four hundred fifty-one million, forty-one thousand".