29660040000 has 560 divisors, whose sum is σ = 112835131200. Its totient is φ = 7628544000.

The previous prime is 29660039947. The next prime is 29660040001. The reversal of 29660040000 is 4006692.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29660040001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31319527 + ... + 31320473.

Almost surely, 2^29660040000 is an apocalyptic number.

29660040000 is a gapful number since it is divisible by the number (20) 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 29660040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56417565600).

29660040000 is an abundant number, since it is smaller than the sum of its proper divisors (83175091200).

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

29660040000 is an equidigital number, since it uses as much as digits as its factorization.

29660040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 29660040000 its reverse (4006692), we get a palindrome (29664046692).

The spelling of 29660040000 in words is "twenty-nine billion, six hundred sixty million, forty thousand".