29919979440 has 480 divisors, whose sum is σ = 115335118080. Its totient is φ = 6889826304.

The previous prime is 29919979423. The next prime is 29919979469. The reversal of 29919979440 is 4497991992.

29919979440 is a `hidden beast` number, since 2 + 99 + 19 + 97 + 9 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14759707 + ... + 14761733.

It is an arithmetic number, because the mean of its divisors is an integer number (240281496).

Almost surely, 2^29919979440 is an apocalyptic number.

29919979440 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 29919979440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57667559040).

29919979440 is an abundant number, since it is smaller than the sum of its proper divisors (85415138640).

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

29919979440 is a wasteful number, since it uses less digits than its factorization.

29919979440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 29919979440 in words is "twenty-nine billion, nine hundred nineteen million, nine hundred seventy-nine thousand, four hundred forty".