1040033407680 has 224 divisors, whose sum is σ = 3758495993280. Its totient is φ = 270577704960.

The previous prime is 1040033407649. The next prime is 1040033407681. The reversal of 1040033407680 is 867043300401.

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 (1040033407681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1113739 + ... + 1822218.

It is an arithmetic number, because the mean of its divisors is an integer number (16778999970).

Almost surely, 2^{1040033407680} is an apocalyptic number.

1040033407680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040033407680 is an abundant number, since it is smaller than the sum of its proper divisors (2718462585600).

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

1040033407680 is a wasteful number, since it uses less digits than its factorization.

1040033407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936024 (or 2936008 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1040033407680 in words is "one trillion, forty billion, thirty-three million, four hundred seven thousand, six hundred eighty".