1040946235200 has 126 divisors (see below), whose sum is σ = 3699768750054. Its totient is φ = 277585658880.

The previous prime is 1040946235193. The next prime is 1040946235201. The reversal of 1040946235200 is 25326490401.

It is a happy number.

1040946235200 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 9 + 4 + 623 + 5 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5094533376 + 1035851701824 = 71376^2 + 1017768^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040946235201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36129567 + ... + 36158366.

Almost surely, 2^{1040946235200} is an apocalyptic number.

1040946235200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040946235200 is an abundant number, since it is smaller than the sum of its proper divisors (2658822514854).

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

1040946235200 is a wasteful number, since it uses less digits than its factorization.

1040946235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72287961 (or 72287943 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1040946235200 in words is "one trillion, forty billion, nine hundred forty-six million, two hundred thirty-five thousand, two hundred".