1258336973140 has 96 divisors (see below), whose sum is σ = 2970472135680. Its totient is φ = 444271550976.

The previous prime is 1258336973137. The next prime is 1258336973143. The reversal of 1258336973140 is 413796338521.

It is an interprime number because it is at equal distance from previous prime (1258336973137) and next prime (1258336973143).

It is a super-2 number, since 2×1258336973140² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1258336973143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19276837 + ... + 19342003.

It is an arithmetic number, because the mean of its divisors is an integer number (30942418080).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1258336973140 = 2516673946280, but 3⋅1258336973140 = 3775010919420 is not.

Almost surely, 2^{1258336973140} is an apocalyptic number.

1258336973140 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 1258336973140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485236067840).

1258336973140 is an abundant number, since it is smaller than the sum of its proper divisors (1712135162540).

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

1258336973140 is a wasteful number, since it uses less digits than its factorization.

1258336973140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68441 (or 68439 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 1258336973140 in words is "one trillion, two hundred fifty-eight billion, three hundred thirty-six million, nine hundred seventy-three thousand, one hundred forty".