29990417940 has 192 divisors, whose sum is σ = 109113016320. Its totient is φ = 6695498880.

The previous prime is 29990417909. The next prime is 29990418011. The reversal of 29990417940 is 4971409992.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70285 + ... + 254795.

It is an arithmetic number, because the mean of its divisors is an integer number (568296960).

Almost surely, 2^29990417940 is an apocalyptic number.

29990417940 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 29990417940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54556508160).

29990417940 is an abundant number, since it is smaller than the sum of its proper divisors (79122598380).

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

29990417940 is a wasteful number, since it uses less digits than its factorization.

29990417940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184579 (or 184571 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 29990417940 in words is "twenty-nine billion, nine hundred ninety million, four hundred seventeen thousand, nine hundred forty".