1031728368720 has 160 divisors (see below), whose sum is σ = 3659680408320. Its totient is φ = 235538841600.

The previous prime is 1031728368719. The next prime is 1031728368739. The reversal of 1031728368720 is 278638271301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1031728368720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1022320 + ... + 1763120.

It is an arithmetic number, because the mean of its divisors is an integer number (22873002552).

Almost surely, 2^{1031728368720} is an apocalyptic number.

1031728368720 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 1031728368720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829840204160).

1031728368720 is an abundant number, since it is smaller than the sum of its proper divisors (2627952039600).

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

1031728368720 is a wasteful number, since it uses less digits than its factorization.

1031728368720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741653 (or 741647 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 1031728368720 in words is "one trillion, thirty-one billion, seven hundred twenty-eight million, three hundred sixty-eight thousand, seven hundred twenty".