1231304405760 has 3456 divisors, whose sum is σ = 5759755223040. Its totient is φ = 247239475200.

The previous prime is 1231304405731. The next prime is 1231304405767. The reversal of 1231304405760 is 675044031321.

1231304405760 is a `hidden beast` number, since 1 + 23 + 130 + 440 + 5 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×1231304405760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1231304405767) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26197966057 + ... + 26197966103.

It is an arithmetic number, because the mean of its divisors is an integer number (1666595840).

Almost surely, 2^{1231304405760} is an apocalyptic number.

1231304405760 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 1231304405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879877611520).

1231304405760 is an abundant number, since it is smaller than the sum of its proper divisors (4528450817280).

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

1231304405760 is a wasteful number, since it uses less digits than its factorization.

1231304405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 1231304405760 in words is "one trillion, two hundred thirty-one billion, three hundred four million, four hundred five thousand, seven hundred sixty".