16270007040 has 1296 divisors, whose sum is σ = 72519239520. Its totient is φ = 3344302080.

The previous prime is 16270007027. The next prime is 16270007093. The reversal of 16270007040 is 4070007261.

It is a junction number, because it is equal to n+sod(n) for n = 16270006995 and 16270007013.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 396829420 + ... + 396829460.

Almost surely, 2^16270007040 is an apocalyptic number.

16270007040 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 16270007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36259619760).

16270007040 is an abundant number, since it is smaller than the sum of its proper divisors (56249232480).

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

16270007040 is a wasteful number, since it uses less digits than its factorization.

16270007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 16270007040 in words is "sixteen billion, two hundred seventy million, seven thousand, forty".