4113262591680 has 448 divisors, whose sum is σ = 15099417266688. Its totient is φ = 937595043840.

The previous prime is 4113262591679. The next prime is 4113262591723. The reversal of 4113262591680 is 861952623114.

It is a super-2 number, since 2×4113262591680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196204879 + ... + 196225841.

Almost surely, 2^{4113262591680} is an apocalyptic number.

4113262591680 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 4113262591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549708633344).

4113262591680 is an abundant number, since it is smaller than the sum of its proper divisors (10986154675008).

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

4113262591680 is a wasteful number, since it uses less digits than its factorization.

4113262591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22104 (or 22094 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 4113262591680 in words is "four trillion, one hundred thirteen billion, two hundred sixty-two million, five hundred ninety-one thousand, six hundred eighty".