1040063431680 has 2640 divisors, whose sum is σ = 4857550258176. Its totient is φ = 210691031040.

The previous prime is 1040063431661. The next prime is 1040063431691. The reversal of 1040063431680 is 861343600401.

It is a happy number.

1040063431680 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 0 + 634 + 3 + 16 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8189475777 + ... + 8189475903.

Almost surely, 2^{1040063431680} is an apocalyptic number.

1040063431680 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 1040063431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428775129088).

1040063431680 is an abundant number, since it is smaller than the sum of its proper divisors (3817486826496).

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

1040063431680 is a wasteful number, since it uses less digits than its factorization.

1040063431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1040063431680 in words is "one trillion, forty billion, sixty-three million, four hundred thirty-one thousand, six hundred eighty".