4611497010120 has 1536 divisors, whose sum is σ = 21732846912000. Its totient is φ = 853981470720.

The previous prime is 4611497010011. The next prime is 4611497010151. The reversal of 4611497010120 is 210107941164.

4611497010120 is a `hidden beast` number, since 4 + 61 + 1 + 497 + 0 + 101 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 219448734 + ... + 219469746.

It is an arithmetic number, because the mean of its divisors is an integer number (14148988875).

Almost surely, 2^{4611497010120} is an apocalyptic number.

4611497010120 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 4611497010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866423456000).

4611497010120 is an abundant number, since it is smaller than the sum of its proper divisors (17121349901880).

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

4611497010120 is a wasteful number, since it uses less digits than its factorization.

4611497010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21100 (or 21083 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 4611497010120 in words is "four trillion, six hundred eleven billion, four hundred ninety-seven million, ten thousand, one hundred twenty".