4871125699440 has 960 divisors, whose sum is σ = 20661462581760. Its totient is φ = 933207367680.

The previous prime is 4871125699397. The next prime is 4871125699469. The reversal of 4871125699440 is 449965211784.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2403119707 + ... + 2403121733.

It is an arithmetic number, because the mean of its divisors is an integer number (21522356856).

Almost surely, 2^{4871125699440} is an apocalyptic number.

4871125699440 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 4871125699440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10330731290880).

4871125699440 is an abundant number, since it is smaller than the sum of its proper divisors (15790336882320).

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

4871125699440 is a wasteful number, since it uses less digits than its factorization.

4871125699440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 4871125699440 in words is "four trillion, eight hundred seventy-one billion, one hundred twenty-five million, six hundred ninety-nine thousand, four hundred forty".