16282355040 has 864 divisors, whose sum is σ = 68836884480. Its totient is φ = 3487131648.

The previous prime is 16282355039. The next prime is 16282355057. The reversal of 16282355040 is 4055328261.

16282355040 is a `hidden beast` number, since 1 + 62 + 8 + 2 + 3 + 550 + 40 = 666.

It is a super-2 number, since 2×16282355040² (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 = 16282354986 and 16282355004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 128207457 + ... + 128207583.

It is an arithmetic number, because the mean of its divisors is an integer number (79672320).

Almost surely, 2^16282355040 is an apocalyptic number.

16282355040 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 16282355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34418442240).

16282355040 is an abundant number, since it is smaller than the sum of its proper divisors (52554529440).

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

16282355040 is a wasteful number, since it uses less digits than its factorization.

16282355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 16282355040 in words is "sixteen billion, two hundred eighty-two million, three hundred fifty-five thousand, forty".