16290228240 has 960 divisors, whose sum is σ = 70020018432. Its totient is φ = 3332505600.

The previous prime is 16290228233. The next prime is 16290228263. The reversal of 16290228240 is 4282209261.

16290228240 is a `hidden beast` number, since 1 + 629 + 0 + 2 + 2 + 8 + 24 + 0 = 666.

It is a super-2 number, since 2×16290228240² (a number of 21 digits) contains 22 as substring.

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 = 16290228195 and 16290228204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71763007 + ... + 71763233.

Almost surely, 2^16290228240 is an apocalyptic number.

16290228240 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 16290228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35010009216).

16290228240 is an abundant number, since it is smaller than the sum of its proper divisors (53729790192).

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

16290228240 is a wasteful number, since it uses less digits than its factorization.

16290228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 16290228240 in words is "sixteen billion, two hundred ninety million, two hundred twenty-eight thousand, two hundred forty".