1045212844032 has 936 divisors, whose sum is σ = 3772820469600. Its totient is φ = 287944409088.

The previous prime is 1045212843953. The next prime is 1045212844141. The reversal of 1045212844032 is 2304482125401.

1045212844032 is a `hidden beast` number, since 10 + 4 + 52 + 128 + 440 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1414360719 + ... + 1414361457.

It is an arithmetic number, because the mean of its divisors is an integer number (4030791100).

Almost surely, 2^{1045212844032} is an apocalyptic number.

1045212844032 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 1045212844032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886410234800).

1045212844032 is an abundant number, since it is smaller than the sum of its proper divisors (2727607625568).

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

1045212844032 is an frugal number, since it uses more digits than its factorization.

1045212844032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 1045212844032 its reverse (2304482125401), we get a palindrome (3349694969433).

The spelling of 1045212844032 in words is "one trillion, forty-five billion, two hundred twelve million, eight hundred forty-four thousand, thirty-two".