29478042000 has 480 divisors, whose sum is σ = 117218140416. Its totient is φ = 6834432000.

The previous prime is 29478041981. The next prime is 29478042019. The reversal of 29478042000 is 24087492.

It is an interprime number because it is at equal distance from previous prime (29478041981) and next prime (29478042019).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4550764 + ... + 4557236.

Almost surely, 2^29478042000 is an apocalyptic number.

29478042000 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 29478042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58609070208).

29478042000 is an abundant number, since it is smaller than the sum of its proper divisors (87740098416).

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

29478042000 is a wasteful number, since it uses less digits than its factorization.

29478042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536 (or 6517 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 29478042000 in words is "twenty-nine billion, four hundred seventy-eight million, forty-two thousand".