4253401338240 has 512 divisors, whose sum is σ = 14498226339840. Its totient is φ = 1056923320320.

The previous prime is 4253401338239. The next prime is 4253401338253. The reversal of 4253401338240 is 428331043524.

4253401338240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3079942350 + ... + 3079943730.

It is an arithmetic number, because the mean of its divisors is an integer number (28316848320).

Almost surely, 2^{4253401338240} is an apocalyptic number.

4253401338240 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 4253401338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249113169920).

4253401338240 is an abundant number, since it is smaller than the sum of its proper divisors (10244825001600).

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

4253401338240 is a wasteful number, since it uses less digits than its factorization.

4253401338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 4253401338240 in words is "four trillion, two hundred fifty-three billion, four hundred one million, three hundred thirty-eight thousand, two hundred forty".