1309859423040 has 672 divisors, whose sum is σ = 4887513354240. Its totient is φ = 296339656704.

The previous prime is 1309859423039. The next prime is 1309859423053. The reversal of 1309859423040 is 403249589031.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×1309859423040³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2956793059 + ... + 2956793501.

Almost surely, 2^{1309859423040} is an apocalyptic number.

1309859423040 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 1309859423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443756677120).

1309859423040 is an abundant number, since it is smaller than the sum of its proper divisors (3577653931200).

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

1309859423040 is a wasteful number, since it uses less digits than its factorization.

1309859423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 1309859423040 in words is "one trillion, three hundred nine billion, eight hundred fifty-nine million, four hundred twenty-three thousand, forty".