4125724092 has 192 divisors, whose sum is σ = 12716928000. Its totient is φ = 1131750144.

The previous prime is 4125724073. The next prime is 4125724123. The reversal of 4125724092 is 2904275214.

4125724092 is a `hidden beast` number, since 41 + 2 + 572 + 40 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4976334 + ... + 4977162.

It is an arithmetic number, because the mean of its divisors is an integer number (66234000).

Almost surely, 2^4125724092 is an apocalyptic number.

4125724092 is a gapful number since it is divisible by the number (42) 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 4125724092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358464000).

4125724092 is an abundant number, since it is smaller than the sum of its proper divisors (8591203908).

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

4125724092 is a wasteful number, since it uses less digits than its factorization.

4125724092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4125724092 is about 64231.7996945438. The cubic root of 4125724092 is about 1603.8609999096.

The spelling of 4125724092 in words is "four billion, one hundred twenty-five million, seven hundred twenty-four thousand, ninety-two".