4074814507680 has 1536 divisors, whose sum is σ = 18590975262720. Its totient is φ = 811364843520.

The previous prime is 4074814507679. The next prime is 4074814507723. The reversal of 4074814507680 is 867054184704.

4074814507680 is a `hidden beast` number, since 4 + 0 + 7 + 48 + 1 + 450 + 76 + 80 = 666.

It is a super-2 number, since 2×4074814507680² (a number of 26 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 366533482 + ... + 366544598.

It is an arithmetic number, because the mean of its divisors is an integer number (12103499520).

Almost surely, 2^{4074814507680} is an apocalyptic number.

4074814507680 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 4074814507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9295487631360).

4074814507680 is an abundant number, since it is smaller than the sum of its proper divisors (14516160755040).

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

4074814507680 is a wasteful number, since it uses less digits than its factorization.

4074814507680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11219 (or 11205 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 4074814507680 in words is "four trillion, seventy-four billion, eight hundred fourteen million, five hundred seven thousand, six hundred eighty".