47932093440 has 1760 divisors, whose sum is σ = 228268339200. Its totient is φ = 9316270080.

The previous prime is 47932093439. The next prime is 47932093441. The reversal of 47932093440 is 4439023974.

It is an interprime number because it is at equal distance from previous prime (47932093439) and next prime (47932093441).

It is a tau number, because it is divible by the number of its divisors (1760).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (47932093441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 606735321 + ... + 606735399.

It is an arithmetic number, because the mean of its divisors is an integer number (129697920).

Almost surely, 2^47932093440 is an apocalyptic number.

47932093440 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 47932093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114134169600).

47932093440 is an abundant number, since it is smaller than the sum of its proper divisors (180336245760).

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

47932093440 is a wasteful number, since it uses less digits than its factorization.

47932093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 47932093440 in words is "forty-seven billion, nine hundred thirty-two million, ninety-three thousand, four hundred forty".