47518410240 has 800 divisors, whose sum is σ = 204865816320. Its totient is φ = 10283728896.

The previous prime is 47518410227. The next prime is 47518410281. The reversal of 47518410240 is 4201481574.

It is a happy number.

47518410240 is a `hidden beast` number, since 475 + 1 + 84 + 102 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 47518410195 and 47518410204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27578019 + ... + 27579741.

Almost surely, 2^47518410240 is an apocalyptic number.

47518410240 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 47518410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102432908160).

47518410240 is an abundant number, since it is smaller than the sum of its proper divisors (157347406080).

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

47518410240 is a wasteful number, since it uses less digits than its factorization.

47518410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 47518410240 in words is "forty-seven billion, five hundred eighteen million, four hundred ten thousand, two hundred forty".