10216009440 has 576 divisors, whose sum is σ = 44271360000. Its totient is φ = 2154387456.

The previous prime is 10216009417. The next prime is 10216009493. The reversal of 10216009440 is 4490061201.

10216009440 is a `hidden beast` number, since 1 + 0 + 216 + 0 + 0 + 9 + 440 = 666.

It is a super-2 number, since 2×10216009440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5109561 + ... + 5111559.

It is an arithmetic number, because the mean of its divisors is an integer number (76860000).

Almost surely, 2^10216009440 is an apocalyptic number.

10216009440 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 10216009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22135680000).

10216009440 is an abundant number, since it is smaller than the sum of its proper divisors (34055350560).

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

10216009440 is a wasteful number, since it uses less digits than its factorization.

10216009440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10216009440 in words is "ten billion, two hundred sixteen million, nine thousand, four hundred forty".