4488251591772 has 1536 divisors, whose sum is σ = 15200317440000. Its totient is φ = 1128701952000.

The previous prime is 4488251591731. The next prime is 4488251591773. The reversal of 4488251591772 is 2771951528844.

4488251591772 is a `hidden beast` number, since 4 + 48 + 8 + 2 + 515 + 9 + 1 + 7 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4488251591773) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 41176620054 + ... + 41176620162.

It is an arithmetic number, because the mean of its divisors is an integer number (9896040000).

Almost surely, 2^{4488251591772} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4488251591772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600158720000).

4488251591772 is an abundant number, since it is smaller than the sum of its proper divisors (10712065848228).

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

4488251591772 is a wasteful number, since it uses less digits than its factorization.

4488251591772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 63.

The spelling of 4488251591772 in words is "four trillion, four hundred eighty-eight billion, two hundred fifty-one million, five hundred ninety-one thousand, seven hundred seventy-two".