1045530230400 has 144 divisors (see below), whose sum is σ = 3730691565510. Its totient is φ = 278808053760.

The previous prime is 1045530230279. The next prime is 1045530230429. The reversal of 1045530230400 is 40320355401.

1045530230400 is a `hidden beast` number, since 1 + 0 + 4 + 55 + 302 + 304 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 601046673984 + 444483556416 = 775272^2 + 666696^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18122767 + ... + 18180366.

Almost surely, 2^{1045530230400} is an apocalyptic number.

1045530230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045530230400 is an abundant number, since it is smaller than the sum of its proper divisors (2685161335110).

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

1045530230400 is a wasteful number, since it uses less digits than its factorization.

1045530230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36303163 (or 36303143 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 1045530230400 its reverse (40320355401), we get a palindrome (1085850585801).

The spelling of 1045530230400 in words is "one trillion, forty-five billion, five hundred thirty million, two hundred thirty thousand, four hundred".