47992639242240 has 4800 divisors, whose sum is σ = 230199866265600. Its totient is φ = 9274864435200.

The previous prime is 47992639242227. The next prime is 47992639242341. The reversal of 47992639242240 is 4224293629974.

47992639242240 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 263 + 92 + 42 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 607501762521 + ... + 607501762599.

It is an arithmetic number, because the mean of its divisors is an integer number (47958305472).

Almost surely, 2^{47992639242240} is an apocalyptic number.

47992639242240 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 47992639242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115099933132800).

47992639242240 is an abundant number, since it is smaller than the sum of its proper divisors (182207227023360).

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

47992639242240 is a wasteful number, since it uses less digits than its factorization.

47992639242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 47992639242240 in words is "forty-seven trillion, nine hundred ninety-two billion, six hundred thirty-nine million, two hundred forty-two thousand, two hundred forty".