47742240283920 has 480 divisors, whose sum is σ = 198840999861504. Its totient is φ = 9996192460800.

The previous prime is 47742240283919. The next prime is 47742240283973. The reversal of 47742240283920 is 2938204224774.

47742240283920 is a `hidden beast` number, since 4 + 7 + 7 + 4 + 2 + 240 + 2 + 8 + 392 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5801950 + ... + 11364290.

Almost surely, 2^{47742240283920} is an apocalyptic number.

47742240283920 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 47742240283920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99420499930752).

47742240283920 is an abundant number, since it is smaller than the sum of its proper divisors (151098759577584).

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

47742240283920 is a wasteful number, since it uses less digits than its factorization.

47742240283920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562511 (or 5562502 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 47742240283920 in words is "forty-seven trillion, seven hundred forty-two billion, two hundred forty million, two hundred eighty-three thousand, nine hundred twenty".