340980411856896 has 1536 divisors, whose sum is σ = 1211287633920000. Its totient is φ = 92732082094080.

The previous prime is 340980411856873. The next prime is 340980411856943. The reversal of 340980411856896 is 698658114089043.

340980411856896 is a `hidden beast` number, since 3 + 4 + 0 + 9 + 8 + 0 + 41 + 18 + 568 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 334622582275 + ... + 334622583293.

It is an arithmetic number, because the mean of its divisors is an integer number (788598720000).

Almost surely, 2^{340980411856896} is an apocalyptic number.

340980411856896 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 340980411856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605643816960000).

340980411856896 is an abundant number, since it is smaller than the sum of its proper divisors (870307222063104).

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

340980411856896 is a wasteful number, since it uses less digits than its factorization.

340980411856896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 340980411856896 in words is "three hundred forty trillion, nine hundred eighty billion, four hundred eleven million, eight hundred fifty-six thousand, eight hundred ninety-six".