47140410240 has 1024 divisors, whose sum is σ = 211507200000. Its totient is φ = 9638092800.

The previous prime is 47140410221. The next prime is 47140410263. The reversal of 47140410240 is 4201404174.

47140410240 is a `hidden beast` number, since 4 + 7 + 1 + 4 + 0 + 410 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 94469511 + ... + 94470009.

It is an arithmetic number, because the mean of its divisors is an integer number (206550000).

Almost surely, 2^47140410240 is an apocalyptic number.

47140410240 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 47140410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105753600000).

47140410240 is an abundant number, since it is smaller than the sum of its proper divisors (164366789760).

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

47140410240 is a wasteful number, since it uses less digits than its factorization.

47140410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 47140410240 in words is "forty-seven billion, one hundred forty million, four hundred ten thousand, two hundred forty".