1084364906240 has 432 divisors, whose sum is σ = 3276108025344. Its totient is φ = 336610222080.

The previous prime is 1084364906227. The next prime is 1084364906257. The reversal of 1084364906240 is 426094634801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285132179 + ... + 285135981.

It is an arithmetic number, because the mean of its divisors is an integer number (7583583392).

Almost surely, 2^{1084364906240} is an apocalyptic number.

1084364906240 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 1084364906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638054012672).

1084364906240 is an abundant number, since it is smaller than the sum of its proper divisors (2191743119104).

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

1084364906240 is a wasteful number, since it uses less digits than its factorization.

1084364906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 47.

The spelling of 1084364906240 in words is "one trillion, eighty-four billion, three hundred sixty-four million, nine hundred six thousand, two hundred forty".