16122839040 has 816 divisors, whose sum is σ = 70665094656. Its totient is φ = 3303014400.

The previous prime is 16122839039. The next prime is 16122839087. The reversal of 16122839040 is 4093822161.

16122839040 is a `hidden beast` number, since 1 + 6 + 1 + 228 + 390 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2 and base 4.

It is a junction number, because it is equal to n+sod(n) for n = 16122838986 and 16122839004.

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, 227082205 + ... + 227082275.

Almost surely, 2^16122839040 is an apocalyptic number.

16122839040 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 16122839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35332547328).

16122839040 is an abundant number, since it is smaller than the sum of its proper divisors (54542255616).

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

16122839040 is an equidigital number, since it uses as much as digits as its factorization.

16122839040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 16122839040 in words is "sixteen billion, one hundred twenty-two million, eight hundred thirty-nine thousand, forty".