4561714252800 has 792 divisors, whose sum is σ = 16865093804000. Its totient is φ = 1177194332160.

The previous prime is 4561714252759. The next prime is 4561714252811. The reversal of 4561714252800 is 82524171654.

4561714252800 is a `hidden beast` number, since 4 + 5 + 617 + 1 + 4 + 2 + 5 + 28 + 0 + 0 = 666.

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

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, 1696433856 + ... + 1696436544.

Almost surely, 2^{4561714252800} is an apocalyptic number.

4561714252800 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 4561714252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432546902000).

4561714252800 is an abundant number, since it is smaller than the sum of its proper divisors (12303379551200).

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

4561714252800 is a wasteful number, since it uses less digits than its factorization.

4561714252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 4561714252800 in words is "four trillion, five hundred sixty-one billion, seven hundred fourteen million, two hundred fifty-two thousand, eight hundred".