4714500096000 has 1536 divisors, whose sum is σ = 18372784435200. Its totient is φ = 1159358054400.

The previous prime is 4714500095993. The next prime is 4714500096043. The reversal of 4714500096000 is 6900054174.

4714500096000 is a `hidden beast` number, since 4 + 7 + 1 + 45 + 0 + 0 + 0 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×4714500096000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37122047937 + ... + 37122048063.

It is an arithmetic number, because the mean of its divisors is an integer number (11961448200).

Almost surely, 2^{4714500096000} is an apocalyptic number.

4714500096000 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 4714500096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186392217600).

4714500096000 is an abundant number, since it is smaller than the sum of its proper divisors (13658284339200).

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

4714500096000 is a wasteful number, since it uses less digits than its factorization.

4714500096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 4714500096000 in words is "four trillion, seven hundred fourteen billion, five hundred million, ninety-six thousand".