1089251942400 has 756 divisors, whose sum is σ = 4120380759222. Its totient is φ = 275011338240.

The previous prime is 1089251942357. The next prime is 1089251942453. The reversal of 1089251942400 is 42491529801.

It is a happy number.

1089251942400 is a `hidden beast` number, since 1 + 0 + 8 + 92 + 519 + 4 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 485485645824 + 603766296576 = 696768^2 + 777024^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 665394382 + ... + 665396018.

Almost surely, 2^{1089251942400} is an apocalyptic number.

1089251942400 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 1089251942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060190379611).

1089251942400 is an abundant number, since it is smaller than the sum of its proper divisors (3031128816822).

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

1089251942400 is a wasteful number, since it uses less digits than its factorization.

1089251942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

It can be divided in two parts, 108925 and 1942400, that added together give a triangular number (2051325 = T₂₀₂₅).

The spelling of 1089251942400 in words is "one trillion, eighty-nine billion, two hundred fifty-one million, nine hundred forty-two thousand, four hundred".