29640112646040 has 192 divisors, whose sum is σ = 103771444140000. Its totient is φ = 7293844002816.

The previous prime is 29640112646033. The next prime is 29640112646057. The reversal of 29640112646040 is 4064621104692.

29640112646040 is a `hidden beast` number, since 2 + 9 + 6 + 4 + 0 + 11 + 26 + 4 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14717836 + ... + 16610084.

Almost surely, 2^{29640112646040} is an apocalyptic number.

29640112646040 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 29640112646040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51885722070000).

29640112646040 is an abundant number, since it is smaller than the sum of its proper divisors (74131331493960).

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

29640112646040 is a wasteful number, since it uses less digits than its factorization.

29640112646040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895626 (or 1895619 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 29640112646040 in words is "twenty-nine trillion, six hundred forty billion, one hundred twelve million, six hundred forty-six thousand, forty".