340189250449104 has 480 divisors, whose sum is σ = 1166628243156480. Its totient is φ = 90414053756928.

The previous prime is 340189250449099. The next prime is 340189250449123. The reversal of 340189250449104 is 401944052981043.

340189250449104 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 8 + 92 + 5 + 0 + 449 + 104 = 666.

It is a super-2 number, since 2×340189250449104² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1774708914 + ... + 1774900590.

It is an arithmetic number, because the mean of its divisors is an integer number (2430475506576).

Almost surely, 2^{340189250449104} 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 340189250449104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583314121578240).

340189250449104 is an abundant number, since it is smaller than the sum of its proper divisors (826438992707376).

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

340189250449104 is a wasteful number, since it uses less digits than its factorization.

340189250449104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193827 (or 193818 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 340189250449104 in words is "three hundred forty trillion, one hundred eighty-nine billion, two hundred fifty million, four hundred forty-nine thousand, one hundred four".