47029382400 has 864 divisors, whose sum is σ = 208474656768. Its totient is φ = 9016934400.

The previous prime is 47029382383. The next prime is 47029382401. The reversal of 47029382400 is 428392074.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47029382401) by changing a digit.

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, 19217977 + ... + 19220423.

It is an arithmetic number, because the mean of its divisors is an integer number (241290112).

Almost surely, 2^47029382400 is an apocalyptic number.

47029382400 is a gapful number since it is divisible by the number (40) 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 47029382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104237328384).

47029382400 is an abundant number, since it is smaller than the sum of its proper divisors (161445274368).

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

47029382400 is a wasteful number, since it uses less digits than its factorization.

47029382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 47029382400 in words is "forty-seven billion, twenty-nine million, three hundred eighty-two thousand, four hundred".