41734869496320 has 1280 divisors, whose sum is σ = 180988927967232. Its totient is φ = 7922421596160.

The previous prime is 41734869496301. The next prime is 41734869496351. The reversal of 41734869496320 is 2369496843714.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×41734869496320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 745676977 + ... + 745732943.

Almost surely, 2^{41734869496320} is an apocalyptic number.

41734869496320 is a gapful number since it is divisible by the number (40) 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 41734869496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90494463983616).

41734869496320 is an abundant number, since it is smaller than the sum of its proper divisors (139254058470912).

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

41734869496320 is a wasteful number, since it uses less digits than its factorization.

41734869496320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56121 (or 56105 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 66.

The spelling of 41734869496320 in words is "forty-one trillion, seven hundred thirty-four billion, eight hundred sixty-nine million, four hundred ninety-six thousand, three hundred twenty".