4495188960000 has 1260 divisors, whose sum is σ = 17807692645512. Its totient is φ = 1127706624000.

The previous prime is 4495188959971. The next prime is 4495188960013. The reversal of 4495188960000 is 698815944.

4495188960000 is a `hidden beast` number, since 4 + 49 + 518 + 89 + 6 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×4495188960000² (a number of 26 digits) contains 22 as substring.

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 139 ways as a sum of consecutive naturals, for example, 1982878867 + ... + 1982881133.

Almost surely, 2^{4495188960000} is an apocalyptic number.

4495188960000 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 4495188960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8903846322756).

4495188960000 is an abundant number, since it is smaller than the sum of its proper divisors (13312503685512).

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

4495188960000 is an frugal number, since it uses more digits than its factorization.

4495188960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 4495188960000 in words is "four trillion, four hundred ninety-five billion, one hundred eighty-eight million, nine hundred sixty thousand".