29821829940 has 336 divisors, whose sum is σ = 109610307072. Its totient is φ = 6670315008.

The previous prime is 29821829899. The next prime is 29821829951. The reversal of 29821829940 is 4992812892.

29821829940 is a `hidden beast` number, since 298 + 21 + 8 + 299 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4793712 + ... + 4799928.

It is an arithmetic number, because the mean of its divisors is an integer number (326221152).

Almost surely, 2^29821829940 is an apocalyptic number.

29821829940 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 29821829940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54805153536).

29821829940 is an abundant number, since it is smaller than the sum of its proper divisors (79788477132).

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

29821829940 is a wasteful number, since it uses less digits than its factorization.

29821829940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 29821829940 in words is "twenty-nine billion, eight hundred twenty-one million, eight hundred twenty-nine thousand, nine hundred forty".