340841884207104 has 1440 divisors, whose sum is σ = 1248871443019200. Its totient is φ = 90687678382080.

The previous prime is 340841884207091. The next prime is 340841884207117. The reversal of 340841884207104 is 401702488148043.

It is a happy number.

340841884207104 is a `hidden beast` number, since 3 + 4 + 0 + 8 + 418 + 8 + 4 + 207 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (340841884207091) and next prime (340841884207117).

It is a super-2 number, since 2×340841884207104² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24732732694 + ... + 24732746474.

It is an arithmetic number, because the mean of its divisors is an integer number (867271835430).

Almost surely, 2^{340841884207104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340841884207104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624435721509600).

340841884207104 is an abundant number, since it is smaller than the sum of its proper divisors (908029558812096).

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

340841884207104 is a wasteful number, since it uses less digits than its factorization.

340841884207104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13919 (or 13871 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 340841884207104 in words is "three hundred forty trillion, eight hundred forty-one billion, eight hundred eighty-four million, two hundred seven thousand, one hundred four".