4107545790336 has 320 divisors, whose sum is σ = 13624272090000. Its totient is φ = 1220817567744.

The previous prime is 4107545790323. The next prime is 4107545790349. The reversal of 4107545790336 is 6330975457014.

4107545790336 is a `hidden beast` number, since 4 + 1 + 0 + 7 + 545 + 7 + 90 + 3 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4107545790323) and next prime (4107545790349).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2735590 + ... + 3962138.

Almost surely, 2^{4107545790336} 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 4107545790336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812136045000).

4107545790336 is an abundant number, since it is smaller than the sum of its proper divisors (9516726299664).

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

4107545790336 is a wasteful number, since it uses less digits than its factorization.

4107545790336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226611 (or 1226590 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 4107545790336 in words is "four trillion, one hundred seven billion, five hundred forty-five million, seven hundred ninety thousand, three hundred thirty-six".