4072253518944 has 864 divisors, whose sum is σ = 13920920133120. Its totient is φ = 1118759620608.

The previous prime is 4072253518937. The next prime is 4072253518951. The reversal of 4072253518944 is 4498153522704.

It is a happy number.

4072253518944 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 2 + 535 + 18 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4072253518937) and next prime (4072253518951).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2572490377 + ... + 2572491959.

It is an arithmetic number, because the mean of its divisors is an integer number (16112176080).

Almost surely, 2^{4072253518944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072253518944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6960460066560).

4072253518944 is an abundant number, since it is smaller than the sum of its proper divisors (9848666614176).

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

4072253518944 is a wasteful number, since it uses less digits than its factorization.

4072253518944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 4072253518944 in words is "four trillion, seventy-two billion, two hundred fifty-three million, five hundred eighteen thousand, nine hundred forty-four".