4424993157312 has 2016 divisors, whose sum is σ = 17802439782400. Its totient is φ = 1059904880640.

The previous prime is 4424993157311. The next prime is 4424993157323. The reversal of 4424993157312 is 2137513994244.

4424993157312 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 9 + 9 + 315 + 7 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is not an unprimeable number, because it can be changed into a prime (4424993157311) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 12679063314 + ... + 12679063662.

Almost surely, 2^{4424993157312} is an apocalyptic number.

4424993157312 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 4424993157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8901219891200).

4424993157312 is an abundant number, since it is smaller than the sum of its proper divisors (13377446625088).

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

4424993157312 is a wasteful number, since it uses less digits than its factorization.

4424993157312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 422 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 4424993157312 in words is "four trillion, four hundred twenty-four billion, nine hundred ninety-three million, one hundred fifty-seven thousand, three hundred twelve".