340036849152000 has 4160 divisors, whose sum is σ = 1702300030599168. Its totient is φ = 65213890560000.

The previous prime is 340036849151981. The next prime is 340036849152047. The reversal of 340036849152000 is 251948630043.

340036849152000 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 36 + 8 + 4 + 91 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 41513467905 + ... + 41513476095.

Almost surely, 2^{340036849152000} is an apocalyptic number.

340036849152000 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 340036849152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851150015299584).

340036849152000 is an abundant number, since it is smaller than the sum of its proper divisors (1362263181447168).

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

340036849152000 is a wasteful number, since it uses less digits than its factorization.

340036849152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8273 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 340036849152000 in words is "three hundred forty trillion, thirty-six billion, eight hundred forty-nine million, one hundred fifty-two thousand".