1045635030400 has 96 divisors (see below), whose sum is σ = 2585809419480. Its totient is φ = 417806438400.

The previous prime is 1045635030367. The next prime is 1045635030409. The reversal of 1045635030400 is 40305365401.

1045635030400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045635030409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2824035 + ... + 3172765.

Almost surely, 2^{1045635030400} is an apocalyptic number.

1045635030400 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 1045635030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292904709740).

1045635030400 is an abundant number, since it is smaller than the sum of its proper divisors (1540174389080).

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

1045635030400 is an equidigital number, since it uses as much as digits as its factorization.

1045635030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349692 (or 349675 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 1045635030400 in words is "one trillion, forty-five billion, six hundred thirty-five million, thirty thousand, four hundred".