1084909261824 has 264 divisors, whose sum is σ = 3439788101568. Its totient is φ = 340362362880.

The previous prime is 1084909261811. The next prime is 1084909261831. The reversal of 1084909261824 is 4281629094801.

It is a happy number.

1084909261824 is a `hidden beast` number, since 1 + 0 + 8 + 490 + 92 + 61 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4101909 + ... + 4358379.

Almost surely, 2^{1084909261824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1084909261824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719894050784).

1084909261824 is an abundant number, since it is smaller than the sum of its proper divisors (2354878839744).

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

1084909261824 is an equidigital number, since it uses as much as digits as its factorization.

1084909261824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256523 (or 256493 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1084909261824 in words is "one trillion, eighty-four billion, nine hundred nine million, two hundred sixty-one thousand, eight hundred twenty-four".