9016381440 has 312 divisors, whose sum is σ = 34101819648. Its totient is φ = 2185297920.

The previous prime is 9016381399. The next prime is 9016381471. The reversal of 9016381440 is 441836109.

9016381440 is a `hidden beast` number, since 9 + 0 + 1 + 638 + 14 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9016381395 and 9016381404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2025297 + ... + 2029743.

It is an arithmetic number, because the mean of its divisors is an integer number (109300704).

Almost surely, 2^9016381440 is an apocalyptic number.

9016381440 is a gapful number since it is divisible by the number (90) 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 9016381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17050909824).

9016381440 is an abundant number, since it is smaller than the sum of its proper divisors (25085438208).

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

9016381440 is a wasteful number, since it uses less digits than its factorization.

9016381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4493 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9016381440 is about 94954.6283232155. The cubic root of 9016381440 is about 2081.3450865845.

The spelling of 9016381440 in words is "nine billion, sixteen million, three hundred eighty-one thousand, four hundred forty".