1009014466320 has 400 divisors, whose sum is σ = 4033932228480. Its totient is φ = 228971225088.

The previous prime is 1009014466319. The next prime is 1009014466333. The reversal of 1009014466320 is 236644109001.

1009014466320 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 0 + 14 + 4 + 6 + 632 + 0 = 666.

It is a super-2 number, since 2×1009014466320² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6225024 + ... + 6385056.

Almost surely, 2^{1009014466320} is an apocalyptic number.

1009014466320 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 1009014466320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016966114240).

1009014466320 is an abundant number, since it is smaller than the sum of its proper divisors (3024917762160).

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

1009014466320 is a wasteful number, since it uses less digits than its factorization.

1009014466320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160204 (or 160189 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1009014466320 in words is "one trillion, nine billion, fourteen million, four hundred sixty-six thousand, three hundred twenty".