47946038400 has 1536 divisors, whose sum is σ = 209086617600. Its totient is φ = 10749542400.

The previous prime is 47946038363. The next prime is 47946038489. The reversal of 47946038400 is 483064974.

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

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 191 ways as a sum of consecutive naturals, for example, 1546646385 + ... + 1546646415.

It is an arithmetic number, because the mean of its divisors is an integer number (136124100).

Almost surely, 2^47946038400 is an apocalyptic number.

47946038400 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 47946038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104543308800).

47946038400 is an abundant number, since it is smaller than the sum of its proper divisors (161140579200).

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

47946038400 is a wasteful number, since it uses less digits than its factorization.

47946038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 47946038400 in words is "forty-seven billion, nine hundred forty-six million, thirty-eight thousand, four hundred".