16120765440 has 528 divisors, whose sum is σ = 63733557888. Its totient is φ = 3732406272.

The previous prime is 16120765429. The next prime is 16120765469. The reversal of 16120765440 is 4456702161.

16120765440 is a `hidden beast` number, since 1 + 6 + 1 + 207 + 6 + 5 + 440 = 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 = 16120765395 and 16120765404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10182889 + ... + 10184471.

It is an arithmetic number, because the mean of its divisors is an integer number (120707496).

Almost surely, 2^16120765440 is an apocalyptic number.

16120765440 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 16120765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31866778944).

16120765440 is an abundant number, since it is smaller than the sum of its proper divisors (47612792448).

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

16120765440 is a wasteful number, since it uses less digits than its factorization.

16120765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 16120765440 in words is "sixteen billion, one hundred twenty million, seven hundred sixty-five thousand, four hundred forty".