4153943801600 has 216 divisors, whose sum is σ = 10369675235808. Its totient is φ = 1647396864000.

The previous prime is 4153943801599. The next prime is 4153943801621. The reversal of 4153943801600 is 61083493514.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538280942 + ... + 538288658.

Almost surely, 2^{4153943801600} is an apocalyptic number.

4153943801600 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 4153943801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184837617904).

4153943801600 is an abundant number, since it is smaller than the sum of its proper divisors (6215731434208).

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

4153943801600 is a wasteful number, since it uses less digits than its factorization.

4153943801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8451 (or 8432 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 4153943801600 in words is "four trillion, one hundred fifty-three billion, nine hundred forty-three million, eight hundred one thousand, six hundred".