4295864157312 has 768 divisors, whose sum is σ = 14638386873600. Its totient is φ = 1105979277312.

The previous prime is 4295864157301. The next prime is 4295864157337. The reversal of 4295864157312 is 2137514685924.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2968806573 + ... + 2968808019.

It is an arithmetic number, because the mean of its divisors is an integer number (19060399575).

Almost surely, 2^{4295864157312} is an apocalyptic number.

4295864157312 is a gapful number since it is divisible by the number (42) 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 4295864157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319193436800).

4295864157312 is an abundant number, since it is smaller than the sum of its proper divisors (10342522716288).

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

4295864157312 is a wasteful number, since it uses less digits than its factorization.

4295864157312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1754 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 57.

The spelling of 4295864157312 in words is "four trillion, two hundred ninety-five billion, eight hundred sixty-four million, one hundred fifty-seven thousand, three hundred twelve".