1042525209600 has 1584 divisors, whose sum is σ = 4490318851200. Its totient is φ = 234738155520.

The previous prime is 1042525209577. The next prime is 1042525209637. The reversal of 1042525209600 is 69025252401.

1042525209600 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 5 + 25 + 20 + 9 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3875558266 + ... + 3875558534.

Almost surely, 2^{1042525209600} is an apocalyptic number.

1042525209600 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 1042525209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245159425600).

1042525209600 is an abundant number, since it is smaller than the sum of its proper divisors (3447793641600).

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

1042525209600 is an equidigital number, since it uses as much as digits as its factorization.

1042525209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1042525209600 in words is "one trillion, forty-two billion, five hundred twenty-five million, two hundred nine thousand, six hundred".