2349032125440 has 4224 divisors, whose sum is σ = 11591881297920. Its totient is φ = 392398110720.

The previous prime is 2349032125373. The next prime is 2349032125441. The reversal of 2349032125440 is 445212309432.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2349032125441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 54628654059 + ... + 54628654101.

It is an arithmetic number, because the mean of its divisors is an integer number (2744290080).

Almost surely, 2^{2349032125440} is an apocalyptic number.

2349032125440 is a gapful number since it is divisible by the number (20) 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 2349032125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795940648960).

2349032125440 is an abundant number, since it is smaller than the sum of its proper divisors (9242849172480).

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

2349032125440 is a wasteful number, since it uses less digits than its factorization.

2349032125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 2349032125440 in words is "two trillion, three hundred forty-nine billion, thirty-two million, one hundred twenty-five thousand, four hundred forty".