1744125642 has 128 divisors (see below), whose sum is σ = 4761262080. Its totient is φ = 461894400.

The previous prime is 1744125641. The next prime is 1744125661. The reversal of 1744125642 is 2465214471.

1744125642 is a `hidden beast` number, since 1 + 7 + 4 + 4 + 1 + 2 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1744125597 and 1744125606.

It is not an unprimeable number, because it can be changed into a prime (1744125641) 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, 428517 + ... + 432567.

It is an arithmetic number, because the mean of its divisors is an integer number (37197360).

Almost surely, 2^1744125642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1744125642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380631040).

1744125642 is an abundant number, since it is smaller than the sum of its proper divisors (3017136438).

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

1744125642 is a wasteful number, since it uses less digits than its factorization.

1744125642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153 (or 4147 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 1744125642 is about 41762.7302986766. The cubic root of 1744125642 is about 1203.7212359078.

The spelling of 1744125642 in words is "one billion, seven hundred forty-four million, one hundred twenty-five thousand, six hundred forty-two".