29240433456 has 80 divisors (see below), whose sum is σ = 81401977440. Its totient is φ = 8991129600.

The previous prime is 29240433427. The next prime is 29240433493. The reversal of 29240433456 is 65433404292.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 984390 + ... + 1013658.

It is an arithmetic number, because the mean of its divisors is an integer number (1017524718).

Almost surely, 2^29240433456 is an apocalyptic number.

29240433456 is a gapful number since it is divisible by the number (26) 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 29240433456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40700988720).

29240433456 is an abundant number, since it is smaller than the sum of its proper divisors (52161543984).

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

29240433456 is a wasteful number, since it uses less digits than its factorization.

29240433456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30894 (or 30888 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 29240433456 in words is "twenty-nine billion, two hundred forty million, four hundred thirty-three thousand, four hundred fifty-six".