4153760045820 has 1944 divisors, whose sum is σ = 17672342622480. Its totient is φ = 814781721600.

The previous prime is 4153760045779. The next prime is 4153760045881. The reversal of 4153760045820 is 285400673514.

4153760045820 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 7 + 60 + 0 + 4 + 582 + 0 = 666.

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 647 ways as a sum of consecutive naturals, for example, 14782064080 + ... + 14782064360.

Almost surely, 2^{4153760045820} 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 4153760045820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8836171311240).

4153760045820 is an abundant number, since it is smaller than the sum of its proper divisors (13518582576660).

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

4153760045820 is a wasteful number, since it uses less digits than its factorization.

4153760045820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 4153760045820 in words is "four trillion, one hundred fifty-three billion, seven hundred sixty million, forty-five thousand, eight hundred twenty".