29463149440 has 128 divisors (see below), whose sum is σ = 73295176320. Its totient is φ = 11316264960.

The previous prime is 29463149437. The next prime is 29463149449. The reversal of 29463149440 is 4494136492.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29463149449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1585000 + ... + 1603480.

It is an arithmetic number, because the mean of its divisors is an integer number (572618565).

Almost surely, 2^29463149440 is an apocalyptic number.

29463149440 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 29463149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36647588160).

29463149440 is an abundant number, since it is smaller than the sum of its proper divisors (43832026880).

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

29463149440 is a wasteful number, since it uses less digits than its factorization.

29463149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18600 (or 18588 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 29463149440 in words is "twenty-nine billion, four hundred sixty-three million, one hundred forty-nine thousand, four hundred forty".