16180387440 has 320 divisors, whose sum is σ = 59551236096. Its totient is φ = 3557385216.

The previous prime is 16180387429. The next prime is 16180387469. The reversal of 16180387440 is 4478308161.

16180387440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 16180387392 and 16180387401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4838409 + ... + 4841751.

Almost surely, 2^16180387440 is an apocalyptic number.

16180387440 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 16180387440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29775618048).

16180387440 is an abundant number, since it is smaller than the sum of its proper divisors (43370848656).

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

16180387440 is a wasteful number, since it uses less digits than its factorization.

16180387440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 16180387440 in words is "sixteen billion, one hundred eighty million, three hundred eighty-seven thousand, four hundred forty".