29399901127740 has 576 divisors, whose sum is σ = 108449794252800. Its totient is φ = 6348242073600.

The previous prime is 29399901127721. The next prime is 29399901127789. The reversal of 29399901127740 is 4772110999392.

29399901127740 is a `hidden beast` number, since 2 + 9 + 399 + 90 + 112 + 7 + 7 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1313011945 + ... + 1313034335.

It is an arithmetic number, because the mean of its divisors is an integer number (188280892800).

Almost surely, 2^{29399901127740} is an apocalyptic number.

29399901127740 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 29399901127740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54224897126400).

29399901127740 is an abundant number, since it is smaller than the sum of its proper divisors (79049893125060).

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

29399901127740 is a wasteful number, since it uses less digits than its factorization.

29399901127740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24218 (or 24213 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 29399901127740 in words is "twenty-nine trillion, three hundred ninety-nine billion, nine hundred one million, one hundred twenty-seven thousand, seven hundred forty".