1031691320640 has 336 divisors, whose sum is σ = 3606120011520. Its totient is φ = 270667837440.

The previous prime is 1031691320633. The next prime is 1031691320657. The reversal of 1031691320640 is 460231961301.

1031691320640 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 6 + 9 + 1 + 3 + 2 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1031691320595 and 1031691320604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175783626 + ... + 175789494.

Almost surely, 2^{1031691320640} is an apocalyptic number.

1031691320640 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 1031691320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803060005760).

1031691320640 is an abundant number, since it is smaller than the sum of its proper divisors (2574428690880).

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

1031691320640 is a wasteful number, since it uses less digits than its factorization.

1031691320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6870 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 1031691320640 in words is "one trillion, thirty-one billion, six hundred ninety-one million, three hundred twenty thousand, six hundred forty".