1084388345640 has 256 divisors, whose sum is σ = 3693483360000. Its totient is φ = 286465227264.

The previous prime is 1084388345639. The next prime is 1084388345701. The reversal of 1084388345640 is 465438834801.

It is a happy number.

1084388345640 is a `hidden beast` number, since 1 + 0 + 8 + 43 + 8 + 8 + 34 + 564 + 0 = 666.

1084388345640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1084388345640² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9302436 + ... + 9418284.

It is an arithmetic number, because the mean of its divisors is an integer number (14427669375).

Almost surely, 2^{1084388345640} is an apocalyptic number.

1084388345640 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 1084388345640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846741680000).

1084388345640 is an abundant number, since it is smaller than the sum of its proper divisors (2609095014360).

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

1084388345640 is a wasteful number, since it uses less digits than its factorization.

1084388345640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115988 (or 115966 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 1084388345640 in words is "one trillion, eighty-four billion, three hundred eighty-eight million, three hundred forty-five thousand, six hundred forty".