4153063364820 has 216 divisors, whose sum is σ = 13181036764896. Its totient is φ = 1097666422272.

The previous prime is 4153063364797. The next prime is 4153063364869. The reversal of 4153063364820 is 284633603514.

4153063364820 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 0 + 633 + 6 + 4 + 8 + 2 + 0 = 666.

It is a super-4 number, since 4×4153063364820⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62023879 + ... + 62090801.

It is an arithmetic number, because the mean of its divisors is an integer number (61023318356).

Almost surely, 2^{4153063364820} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4153063364820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590518382448).

4153063364820 is an abundant number, since it is smaller than the sum of its proper divisors (9027973400076).

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

4153063364820 is a wasteful number, since it uses less digits than its factorization.

4153063364820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67173 (or 67046 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 4153063364820 in words is "four trillion, one hundred fifty-three billion, sixty-three million, three hundred sixty-four thousand, eight hundred twenty".