16545142440 has 96 divisors (see below), whose sum is σ = 53943874920. Its totient is φ = 4397912064.

The previous prime is 16545142433. The next prime is 16545142469. The reversal of 16545142440 is 4424154561.

16545142440 is a `hidden beast` number, since 165 + 4 + 51 + 4 + 2 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13349953764 + 3195188676 = 115542^2 + 56526^2 .

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 = 16545142395 and 16545142404.

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, 39264 + ... + 186096.

Almost surely, 2^16545142440 is an apocalyptic number.

16545142440 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 16545142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26971937460).

16545142440 is an abundant number, since it is smaller than the sum of its proper divisors (37398732480).

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

16545142440 is a wasteful number, since it uses less digits than its factorization.

16545142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147163 (or 147156 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 16545142440 in words is "sixteen billion, five hundred forty-five million, one hundred forty-two thousand, four hundred forty".