29840221443240 has 384 divisors, whose sum is σ = 111916716387840. Its totient is φ = 6829916479488.

The previous prime is 29840221443139. The next prime is 29840221443269. The reversal of 29840221443240 is 4234412204892.

29840221443240 is a `hidden beast` number, since 2 + 9 + 8 + 402 + 214 + 4 + 3 + 24 + 0 = 666.

It is a super-3 number, since 3×29840221443240³ (a number of 41 digits) contains 333 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 4344049 + ... + 8862911.

It is an arithmetic number, because the mean of its divisors is an integer number (291449782260).

Almost surely, 2^{29840221443240} is an apocalyptic number.

29840221443240 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 29840221443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55958358193920).

29840221443240 is an abundant number, since it is smaller than the sum of its proper divisors (82076494944600).

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

29840221443240 is a wasteful number, since it uses less digits than its factorization.

29840221443240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518993 (or 4518986 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 29840221443240 in words is "twenty-nine trillion, eight hundred forty billion, two hundred twenty-one million, four hundred forty-three thousand, two hundred forty".