1040353113600 has 600 divisors, whose sum is σ = 3881232799488. Its totient is φ = 275208192000.

The previous prime is 1040353113593. The next prime is 1040353113617. The reversal of 1040353113600 is 63113530401.

1040353113600 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 3 + 53 + 1 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 131669650 + ... + 131677550.

Almost surely, 2^{1040353113600} is an apocalyptic number.

1040353113600 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 1040353113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940616399744).

1040353113600 is an abundant number, since it is smaller than the sum of its proper divisors (2840879685888).

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

1040353113600 is an equidigital number, since it uses as much as digits as its factorization.

1040353113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8068 (or 8038 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 1040353113600 in words is "one trillion, forty billion, three hundred fifty-three million, one hundred thirteen thousand, six hundred".