1090405365840 has 560 divisors, whose sum is σ = 4484239942656. Its totient is φ = 241192857600.

The previous prime is 1090405365839. The next prime is 1090405365893. The reversal of 1090405365840 is 485635040901.

1090405365840 is a `hidden beast` number, since 10 + 9 + 0 + 4 + 0 + 53 + 6 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12612360 + ... + 12698520.

Almost surely, 2^{1090405365840} is an apocalyptic number.

1090405365840 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 1090405365840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242119971328).

1090405365840 is an abundant number, since it is smaller than the sum of its proper divisors (3393834576816).

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

1090405365840 is an equidigital number, since it uses as much as digits as its factorization.

1090405365840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86230 (or 86209 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1090405365840 in words is "one trillion, ninety billion, four hundred five million, three hundred sixty-five thousand, eight hundred forty".