1045200213792 has 576 divisors, whose sum is σ = 3686915232000. Its totient is φ = 279945953280.

The previous prime is 1045200213791. The next prime is 1045200213821. The reversal of 1045200213792 is 2973120025401.

1045200213792 is a `hidden beast` number, since 10 + 4 + 520 + 0 + 2 + 1 + 37 + 92 = 666.

1045200213792 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1045200213791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182056042 + ... + 182061782.

It is an arithmetic number, because the mean of its divisors is an integer number (6400894500).

Almost surely, 2^{1045200213792} is an apocalyptic number.

1045200213792 is a gapful number since it is divisible by the number (12) 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 1045200213792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843457616000).

1045200213792 is an abundant number, since it is smaller than the sum of its proper divisors (2641715018208).

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

1045200213792 is a wasteful number, since it uses less digits than its factorization.

1045200213792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1045200213792 in words is "one trillion, forty-five billion, two hundred million, two hundred thirteen thousand, seven hundred ninety-two".