10616000040 has 192 divisors, whose sum is σ = 35600722560. Its totient is φ = 2741506560.

The previous prime is 10616000009. The next prime is 10616000041. The reversal of 10616000040 is 4000061601.

10616000040 is a `hidden beast` number, since 1 + 0 + 61 + 600 + 0 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×10616000040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10615999977 and 10616000022.

It is not an unprimeable number, because it can be changed into a prime (10616000041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3021885 + ... + 3025395.

It is an arithmetic number, because the mean of its divisors is an integer number (185420430).

Almost surely, 2^10616000040 is an apocalyptic number.

10616000040 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 10616000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17800361280).

10616000040 is an abundant number, since it is smaller than the sum of its proper divisors (24984722520).

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

10616000040 is a wasteful number, since it uses less digits than its factorization.

10616000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10616000040 its reverse (4000061601), we get a palindrome (14616061641).

The spelling of 10616000040 in words is "ten billion, six hundred sixteen million, forty", and thus it is an aban number.