44125610546040 has 128 divisors (see below), whose sum is σ = 133127413920000. Its totient is φ = 11700121975808.

The previous prime is 44125610545999. The next prime is 44125610546041. The reversal of 44125610546040 is 4064501652144.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 44125610545983 and 44125610546001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44125610546041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280213807 + ... + 280371233.

It is an arithmetic number, because the mean of its divisors is an integer number (1040057921250).

Almost surely, 2^{44125610546040} is an apocalyptic number.

44125610546040 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 44125610546040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66563706960000).

44125610546040 is an abundant number, since it is smaller than the sum of its proper divisors (89001803373960).

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

44125610546040 is a wasteful number, since it uses less digits than its factorization.

44125610546040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170669 (or 170665 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 44125610546040 in words is "forty-four trillion, one hundred twenty-five billion, six hundred ten million, five hundred forty-six thousand, forty".