340479994410000 has 225 divisors, whose sum is σ = 1190727080107851. Its totient is φ = 90793189008000.

The previous prime is 340479994409959. The next prime is 340479994410041. The reversal of 340479994410000 is 14499974043.

The square root of 340479994410000 is 18452100.

It is a perfect power (a square), and thus also a powerful number.

340479994410000 is a `hidden beast` number, since 3 + 40 + 4 + 79 + 99 + 441 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (340479994409959) and next prime (340479994410041).

It can be written as a sum of positive squares in 2 ways, for example, as 26693631561744 + 313786362848256 = 5166588^2 + 17714016^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5535599247 + ... + 5535660753.

Almost surely, 2^{340479994410000} is an apocalyptic number.

340479994410000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

340479994410000 is the 18452100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340479994410000

340479994410000 is an abundant number, since it is smaller than the sum of its proper divisors (850247085697851).

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

340479994410000 is an frugal number, since it uses more digits than its factorization.

340479994410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123048 (or 61517 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 340479994410000 in words is "three hundred forty trillion, four hundred seventy-nine billion, nine hundred ninety-four million, four hundred ten thousand".