29000740440 has 256 divisors, whose sum is σ = 104860800000. Its totient is φ = 6268078080.

The previous prime is 29000740427. The next prime is 29000740481. The reversal of 29000740440 is 4404700092.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29000740398 and 29000740407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10548186 + ... + 10550934.

It is an arithmetic number, because the mean of its divisors is an integer number (409612500).

Almost surely, 2^29000740440 is an apocalyptic number.

29000740440 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 29000740440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52430400000).

29000740440 is an abundant number, since it is smaller than the sum of its proper divisors (75860059560).

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

29000740440 is a wasteful number, since it uses less digits than its factorization.

29000740440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 29000740440 in words is "twenty-nine billion, seven hundred forty thousand, four hundred forty".