340831881216000 has 1920 divisors, whose sum is σ = 1331564899392000. Its totient is φ = 85784002560000.

The previous prime is 340831881215993. The next prime is 340831881216017. The reversal of 340831881216000 is 612188138043.

340831881216000 is a `hidden beast` number, since 3 + 4 + 0 + 8 + 3 + 18 + 8 + 1 + 21 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 421300223596 + ... + 421300224404.

It is an arithmetic number, because the mean of its divisors is an integer number (693523385100).

Almost surely, 2^{340831881216000} is an apocalyptic number.

340831881216000 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 340831881216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665782449696000).

340831881216000 is an abundant number, since it is smaller than the sum of its proper divisors (990733018176000).

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

340831881216000 is an equidigital number, since it uses as much as digits as its factorization.

340831881216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 340831881216000 in words is "three hundred forty trillion, eight hundred thirty-one billion, eight hundred eighty-one million, two hundred sixteen thousand".