29438478000 has 560 divisors, whose sum is σ = 108801836832. Its totient is φ = 7698240000.

The previous prime is 29438477969. The next prime is 29438478007. The reversal of 29438478000 is 87483492.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29438478007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 88937835 + ... + 88938165.

Almost surely, 2^29438478000 is an apocalyptic number.

29438478000 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 29438478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54400918416).

29438478000 is an abundant number, since it is smaller than the sum of its proper divisors (79363358832).

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

29438478000 is an equidigital number, since it uses as much as digits as its factorization.

29438478000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 29438478000 in words is "twenty-nine billion, four hundred thirty-eight million, four hundred seventy-eight thousand".