4091746488480 has 384 divisors, whose sum is σ = 16591200192000. Its totient is φ = 922444111872.

The previous prime is 4091746488463. The next prime is 4091746488491. The reversal of 4091746488480 is 848846471904.

4091746488480 is a `hidden beast` number, since 4 + 0 + 9 + 1 + 74 + 6 + 4 + 88 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1280746 + ... + 3134294.

It is an arithmetic number, because the mean of its divisors is an integer number (43206250500).

Almost surely, 2^{4091746488480} is an apocalyptic number.

4091746488480 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 4091746488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8295600096000).

4091746488480 is an abundant number, since it is smaller than the sum of its proper divisors (12499453703520).

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

4091746488480 is a wasteful number, since it uses less digits than its factorization.

4091746488480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853653 (or 1853639 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 4091746488480 in words is "four trillion, ninety-one billion, seven hundred forty-six million, four hundred eighty-eight thousand, four hundred eighty".