1084414938240 has 512 divisors, whose sum is σ = 3707298201600. Its totient is φ = 269015040000.

The previous prime is 1084414938239. The next prime is 1084414938241. The reversal of 1084414938240 is 428394144801.

It is an interprime number because it is at equal distance from previous prime (1084414938239) and next prime (1084414938241).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1084414938240.

It is not an unprimeable number, because it can be changed into a prime (1084414938241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433244829 + ... + 433247331.

It is an arithmetic number, because the mean of its divisors is an integer number (7240816800).

Almost surely, 2^{1084414938240} is an apocalyptic number.

1084414938240 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 1084414938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853649100800).

1084414938240 is an abundant number, since it is smaller than the sum of its proper divisors (2622883263360).

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

1084414938240 is a wasteful number, since it uses less digits than its factorization.

1084414938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 1084414938240 in words is "one trillion, eighty-four billion, four hundred fourteen million, nine hundred thirty-eight thousand, two hundred forty".