16125523240440 has 256 divisors, whose sum is σ = 50004318228480. Its totient is φ = 4157854238720.

The previous prime is 16125523240429. The next prime is 16125523240441. The reversal of 16125523240440 is 4404232552161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16125523240441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1365059974 + ... + 1365071786.

It is an arithmetic number, because the mean of its divisors is an integer number (195329368080).

Almost surely, 2^{16125523240440} is an apocalyptic number.

16125523240440 is a gapful number since it is divisible by the number (10) 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 16125523240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25002159114240).

16125523240440 is an abundant number, since it is smaller than the sum of its proper divisors (33878794988040).

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

16125523240440 is a wasteful number, since it uses less digits than its factorization.

16125523240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14974 (or 14970 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 16125523240440 in words is "sixteen trillion, one hundred twenty-five billion, five hundred twenty-three million, two hundred forty thousand, four hundred forty".