4153805076960 has 3840 divisors, whose sum is σ = 20502801285120. Its totient is φ = 765904896000.

The previous prime is 4153805076959. The next prime is 4153805076977. The reversal of 4153805076960 is 696705083514.

4153805076960 is a `hidden beast` number, since 4 + 1 + 53 + 80 + 507 + 6 + 9 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4153805076897 and 4153805076906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 21747670465 + ... + 21747670655.

It is an arithmetic number, because the mean of its divisors is an integer number (5339271168).

Almost surely, 2^{4153805076960} is an apocalyptic number.

4153805076960 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 4153805076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10251400642560).

4153805076960 is an abundant number, since it is smaller than the sum of its proper divisors (16348996208160).

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

4153805076960 is a wasteful number, since it uses less digits than its factorization.

4153805076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 4153805076960 in words is "four trillion, one hundred fifty-three billion, eight hundred five million, seventy-six thousand, nine hundred sixty".