4116752640000 has 5760 divisors, whose sum is σ = 22050659030400. Its totient is φ = 743178240000.

The previous prime is 4116752639957. The next prime is 4116752640043. The reversal of 4116752640000 is 462576114.

4116752640000 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 7 + 5 + 2 + 640 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4116752639957) and next prime (4116752640043).

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 242161919992 + ... + 242161920008.

It is an arithmetic number, because the mean of its divisors is an integer number (3828239415).

Almost surely, 2^{4116752640000} is an apocalyptic number.

4116752640000 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 4116752640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11025329515200).

4116752640000 is an abundant number, since it is smaller than the sum of its proper divisors (17933906390400).

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

4116752640000 is a wasteful number, since it uses less digits than its factorization.

4116752640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 4116752640000 in words is "four trillion, one hundred sixteen billion, seven hundred fifty-two million, six hundred forty thousand".