1082107281420 has 384 divisors, whose sum is σ = 3776927616000. Its totient is φ = 254977873920.

The previous prime is 1082107281391. The next prime is 1082107281421. The reversal of 1082107281420 is 241827012801.

It is a happy number.

1082107281420 is a `hidden beast` number, since 1 + 0 + 82 + 10 + 72 + 81 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1082107281421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31173594 + ... + 31208286.

It is an arithmetic number, because the mean of its divisors is an integer number (9835749000).

Almost surely, 2^{1082107281420} is an apocalyptic number.

1082107281420 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 1082107281420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888463808000).

1082107281420 is an abundant number, since it is smaller than the sum of its proper divisors (2694820334580).

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

1082107281420 is a wasteful number, since it uses less digits than its factorization.

1082107281420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34870 (or 34862 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 1082107281420 in words is "one trillion, eighty-two billion, one hundred seven million, two hundred eighty-one thousand, four hundred twenty".