1016388339120 has 2560 divisors, whose sum is σ = 4820811448320. Its totient is φ = 190439424000.

The previous prime is 1016388339097. The next prime is 1016388339139. The reversal of 1016388339120 is 219338836101.

1016388339120 is a `hidden beast` number, since 1 + 0 + 1 + 638 + 8 + 3 + 3 + 9 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×1016388339120² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 12245642599 + ... + 12245642681.

It is an arithmetic number, because the mean of its divisors is an integer number (1883129472).

Almost surely, 2^{1016388339120} is an apocalyptic number.

1016388339120 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 1016388339120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410405724160).

1016388339120 is an abundant number, since it is smaller than the sum of its proper divisors (3804423109200).

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

1016388339120 is a wasteful number, since it uses less digits than its factorization.

1016388339120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1016388339120 in words is "one trillion, sixteen billion, three hundred eighty-eight million, three hundred thirty-nine thousand, one hundred twenty".