354345505440 has 48 divisors (see below), whose sum is σ = 1116188343648. Its totient is φ = 94492134656.

The previous prime is 354345505433. The next prime is 354345505483. The reversal of 354345505440 is 44505543453.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 354345505392 and 354345505401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369109422 + ... + 369110381.

It is an arithmetic number, because the mean of its divisors is an integer number (23253923826).

Almost surely, 2^354345505440 is an apocalyptic number.

354345505440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354345505440 is an abundant number, since it is smaller than the sum of its proper divisors (761842838208).

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

354345505440 is a wasteful number, since it uses less digits than its factorization.

354345505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738219821 (or 738219813 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 42.

The spelling of 354345505440 in words is "three hundred fifty-four billion, three hundred forty-five million, five hundred five thousand, four hundred forty".