340556225400 has 144 divisors (see below), whose sum is σ = 1171596731760. Its totient is φ = 88599974400.

The previous prime is 340556225371. The next prime is 340556225419. The reversal of 340556225400 is 4522655043.

340556225400 is a `hidden beast` number, since 3 + 4 + 0 + 55 + 62 + 2 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2233492 + ... + 2381091.

It is an arithmetic number, because the mean of its divisors is an integer number (8136088415).

Almost surely, 2^340556225400 is an apocalyptic number.

340556225400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340556225400 is an abundant number, since it is smaller than the sum of its proper divisors (831040506360).

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

340556225400 is a wasteful number, since it uses less digits than its factorization.

340556225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614646 (or 4614634 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 340556225400 in words is "three hundred forty billion, five hundred fifty-six million, two hundred twenty-five thousand, four hundred".