340321425776640 has 1344 divisors, whose sum is σ = 1471909659517440. Its totient is φ = 70663085752320.

The previous prime is 340321425776599. The next prime is 340321425776671. The reversal of 340321425776640 is 46677524123043.

340321425776640 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 2 + 1 + 4 + 2 + 577 + 6 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46182846876 + ... + 46182854244.

Almost surely, 2^{340321425776640} is an apocalyptic number.

340321425776640 is a gapful number since it is divisible by the number (30) 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 340321425776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735954829758720).

340321425776640 is an abundant number, since it is smaller than the sum of its proper divisors (1131588233740800).

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

340321425776640 is a wasteful number, since it uses less digits than its factorization.

340321425776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9051 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

Adding to 340321425776640 its reverse (46677524123043), we get a palindrome (386998949899683).

The spelling of 340321425776640 in words is "three hundred forty trillion, three hundred twenty-one billion, four hundred twenty-five million, seven hundred seventy-six thousand, six hundred forty".