340638614496 has 144 divisors (see below), whose sum is σ = 972384482160. Its totient is φ = 113114050560.

The previous prime is 340638614483. The next prime is 340638614573. The reversal of 340638614496 is 694416836043.

It is a happy number.

340638614496 is a `hidden beast` number, since 3 + 4 + 0 + 63 + 86 + 14 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148554726 + ... + 148557018.

It is an arithmetic number, because the mean of its divisors is an integer number (6752670015).

Almost surely, 2^340638614496 is an apocalyptic number.

340638614496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340638614496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486192241080).

340638614496 is an abundant number, since it is smaller than the sum of its proper divisors (631745867664).

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

340638614496 is a wasteful number, since it uses less digits than its factorization.

340638614496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 340638614496 in words is "three hundred forty billion, six hundred thirty-eight million, six hundred fourteen thousand, four hundred ninety-six".