1040386291200 has 1200 divisors, whose sum is σ = 4142597138064. Its totient is φ = 256927334400.

The previous prime is 1040386291187. The next prime is 1040386291261. The reversal of 1040386291200 is 21926830401.

1040386291200 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 3 + 8 + 629 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1180914760 + ... + 1180915640.

Almost surely, 2^{1040386291200} is an apocalyptic number.

1040386291200 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 1040386291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071298569032).

1040386291200 is an abundant number, since it is smaller than the sum of its proper divisors (3102210846864).

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

1040386291200 is an equidigital number, since it uses as much as digits as its factorization.

1040386291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1040386291200 in words is "one trillion, forty billion, three hundred eighty-six million, two hundred ninety-one thousand, two hundred".