12958237440 has 324 divisors, whose sum is σ = 46586349264. Its totient is φ = 3453290496.

The previous prime is 12958237427. The next prime is 12958237451. The reversal of 12958237440 is 4473285921.

12958237440 is a `hidden beast` number, since 1 + 29 + 582 + 3 + 7 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8397309 + ... + 8398851.

Almost surely, 2^12958237440 is an apocalyptic number.

12958237440 is a gapful number since it is divisible by the number (10) 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 12958237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23293174632).

12958237440 is an abundant number, since it is smaller than the sum of its proper divisors (33628111824).

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

12958237440 is an frugal number, since it uses more digits than its factorization.

12958237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12958237440 in words is "twelve billion, nine hundred fifty-eight million, two hundred thirty-seven thousand, four hundred forty".