16340567040 has 396 divisors, whose sum is σ = 65872762956. Its totient is φ = 3734470656.

The previous prime is 16340567027. The next prime is 16340567071. The reversal of 16340567040 is 4076504361.

It is a happy number.

16340567040 is a `hidden beast` number, since 16 + 3 + 40 + 567 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8352497664 + 7988069376 = 91392^2 + 89376^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 16340566986 and 16340567004.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2254302 + ... + 2261538.

It is an arithmetic number, because the mean of its divisors is an integer number (166345361).

Almost surely, 2^16340567040 is an apocalyptic number.

16340567040 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 16340567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32936381478).

16340567040 is an abundant number, since it is smaller than the sum of its proper divisors (49532195916).

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

16340567040 is a wasteful number, since it uses less digits than its factorization.

16340567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7282 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 16340567040 in words is "sixteen billion, three hundred forty million, five hundred sixty-seven thousand, forty".