4716257495040 has 2304 divisors, whose sum is σ = 21395005632000. Its totient is φ = 976536207360.

The previous prime is 4716257495039. The next prime is 4716257495087. The reversal of 4716257495040 is 405947526174.

4716257495040 is a `hidden beast` number, since 4 + 7 + 1 + 62 + 5 + 74 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10743183141 + ... + 10743183579.

It is an arithmetic number, because the mean of its divisors is an integer number (9286026750).

Almost surely, 2^{4716257495040} is an apocalyptic number.

4716257495040 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 4716257495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10697502816000).

4716257495040 is an abundant number, since it is smaller than the sum of its proper divisors (16678748136960).

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

4716257495040 is a wasteful number, since it uses less digits than its factorization.

4716257495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 4716257495040 in words is "four trillion, seven hundred sixteen billion, two hundred fifty-seven million, four hundred ninety-five thousand, forty".