351337664040 has 64 divisors (see below), whose sum is σ = 1149832359360. Its totient is φ = 85172766720.

The previous prime is 351337663993. The next prime is 351337664059. The reversal of 351337664040 is 40466733153.

It is a junction number, because it is equal to n+sod(n) for n = 351337663983 and 351337664001.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 133081129 + ... + 133083768.

It is an arithmetic number, because the mean of its divisors is an integer number (17966130615).

Almost surely, 2^351337664040 is an apocalyptic number.

351337664040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

351337664040 is an abundant number, since it is smaller than the sum of its proper divisors (798494695320).

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

351337664040 is a wasteful number, since it uses less digits than its factorization.

351337664040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266164922 (or 266164918 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 351337664040 in words is "three hundred fifty-one billion, three hundred thirty-seven million, six hundred sixty-four thousand, forty".