340731196416 has 792 divisors, whose sum is σ = 1160908068320. Its totient is φ = 95368347648.

The previous prime is 340731196391. The next prime is 340731196439. The reversal of 340731196416 is 614691137043.

340731196416 is a `hidden beast` number, since 3 + 40 + 7 + 3 + 1 + 196 + 416 = 666.

It is a super-2 number, since 2×340731196416² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5775104995 + ... + 5775105053.

Almost surely, 2^340731196416 is an apocalyptic number.

340731196416 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 340731196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580454034160).

340731196416 is an abundant number, since it is smaller than the sum of its proper divisors (820176871904).

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

340731196416 is a wasteful number, since it uses less digits than its factorization.

340731196416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 340731196416 in words is "three hundred forty billion, seven hundred thirty-one million, one hundred ninety-six thousand, four hundred sixteen".