4913859542400 has 288 divisors, whose sum is σ = 17795482091400. Its totient is φ = 1290804387840.

The previous prime is 4913859542369. The next prime is 4913859542407. The reversal of 4913859542400 is 42459583194.

It is a happy number.

4913859542400 is a `hidden beast` number, since 4 + 9 + 1 + 3 + 8 + 59 + 542 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4913859542407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 656316 + ... + 3202884.

Almost surely, 2^{4913859542400} is an apocalyptic number.

4913859542400 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 4913859542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8897741045700).

4913859542400 is an abundant number, since it is smaller than the sum of its proper divisors (12881622549000).

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

4913859542400 is a wasteful number, since it uses less digits than its factorization.

4913859542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546666 (or 2546646 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 4913859542400 in words is "four trillion, nine hundred thirteen billion, eight hundred fifty-nine million, five hundred forty-two thousand, four hundred".