334053253140 has 96 divisors (see below), whose sum is σ = 944404562304. Its totient is φ = 88219000320.

The previous prime is 334053253133. The next prime is 334053253147. The reversal of 334053253140 is 41352350433.

334053253140 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (334053253133) and next prime (334053253147).

It is a super-2 number, since 2×334053253140² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334053253147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24883630 + ... + 24897050.

It is an arithmetic number, because the mean of its divisors is an integer number (9837547524).

Almost surely, 2^334053253140 is an apocalyptic number.

334053253140 is a gapful number since it is divisible by the number (30) 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 334053253140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472202281152).

334053253140 is an abundant number, since it is smaller than the sum of its proper divisors (610351309164).

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

334053253140 is a wasteful number, since it uses less digits than its factorization.

334053253140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17417 (or 17415 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 33.

The spelling of 334053253140 in words is "three hundred thirty-four billion, fifty-three million, two hundred fifty-three thousand, one hundred forty".