4253872242048 has 1024 divisors, whose sum is σ = 14454909665280. Its totient is φ = 1088508395520.

The previous prime is 4253872242023. The next prime is 4253872242071. The reversal of 4253872242048 is 8402422783524.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6283415086 + ... + 6283415762.

It is an arithmetic number, because the mean of its divisors is an integer number (14116122720).

Almost surely, 2^{4253872242048} is an apocalyptic number.

4253872242048 is a gapful number since it is divisible by the number (48) 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 4253872242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227454832640).

4253872242048 is an abundant number, since it is smaller than the sum of its proper divisors (10201037423232).

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

4253872242048 is a wasteful number, since it uses less digits than its factorization.

4253872242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 51.

The spelling of 4253872242048 in words is "four trillion, two hundred fifty-three billion, eight hundred seventy-two million, two hundred forty-two thousand, forty-eight".