4222315024000 has 128 divisors (see below), whose sum is σ = 11115245016720. Its totient is φ = 1589577318400.

The previous prime is 4222315023977. The next prime is 4222315024003. The reversal of 4222315024000 is 4205132224.

It can be written as a sum of positive squares in 8 ways, for example, as 1018759160896 + 3203555863104 = 1009336^2 + 1789848^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4222315024000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4222315024003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7489609 + ... + 8033608.

Almost surely, 2^{4222315024000} is an apocalyptic number.

4222315024000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4222315024000 is an abundant number, since it is smaller than the sum of its proper divisors (6892929992720).

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

4222315024000 is a wasteful number, since it uses less digits than its factorization.

4222315024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15523263 (or 15523241 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 4222315024000 in words is "four trillion, two hundred twenty-two billion, three hundred fifteen million, twenty-four thousand".