47488438380240 has 3200 divisors, whose sum is σ = 208572258521088. Its totient is φ = 9853747200000.

The previous prime is 47488438380217. The next prime is 47488438380263. The reversal of 47488438380240 is 4208383488474.

It is a happy number.

47488438380240 is a `hidden beast` number, since 4 + 7 + 4 + 8 + 8 + 4 + 3 + 8 + 380 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (47488438380217) and next prime (47488438380263).

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 639 ways as a sum of consecutive naturals, for example, 71843325510 + ... + 71843326170.

Almost surely, 2^{47488438380240} is an apocalyptic number.

47488438380240 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 47488438380240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104286129260544).

47488438380240 is an abundant number, since it is smaller than the sum of its proper divisors (161083820140848).

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

47488438380240 is a wasteful number, since it uses less digits than its factorization.

47488438380240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 132120576, while the sum is 63.

The spelling of 47488438380240 in words is "forty-seven trillion, four hundred eighty-eight billion, four hundred thirty-eight million, three hundred eighty thousand, two hundred forty".