1040484340800 has 1008 divisors, whose sum is σ = 3992570030592. Its totient is φ = 256319078400.

The previous prime is 1040484340789. The next prime is 1040484340807. The reversal of 1040484340800 is 80434840401.

1040484340800 is a `hidden beast` number, since 104 + 0 + 48 + 434 + 0 + 80 + 0 = 666.

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 (1040484340807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2414116585 + ... + 2414117015.

Almost surely, 2^{1040484340800} is an apocalyptic number.

1040484340800 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 1040484340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996285015296).

1040484340800 is an abundant number, since it is smaller than the sum of its proper divisors (2952085689792).

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

1040484340800 is a wasteful number, since it uses less digits than its factorization.

1040484340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 1040484340800 in words is "one trillion, forty billion, four hundred eighty-four million, three hundred forty thousand, eight hundred".