4092925440 has 640 divisors, whose sum is σ = 15273308160. Its totient is φ = 928514048.

The previous prime is 4092925433. The next prime is 4092925453. The reversal of 4092925440 is 445292904.

It is a tau number, because it is divible by the number of its divisors (640).

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, 87083497 + ... + 87083543.

It is an arithmetic number, because the mean of its divisors is an integer number (23864544).

Almost surely, 2^4092925440 is an apocalyptic number.

4092925440 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 4092925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7636654080).

4092925440 is an abundant number, since it is smaller than the sum of its proper divisors (11180382720).

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

4092925440 is a wasteful number, since it uses less digits than its factorization.

4092925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 4092925440 is about 63975.9754908044. The cubic root of 4092925440 is about 1599.5995664581.

The spelling of 4092925440 in words is "four billion, ninety-two million, nine hundred twenty-five thousand, four hundred forty".