47242619424 has 1152 divisors, whose sum is σ = 191404781568. Its totient is φ = 10659962880.

The previous prime is 47242619393. The next prime is 47242619429. The reversal of 47242619424 is 42491624274.

47242619424 is a `hidden beast` number, since 4 + 7 + 2 + 4 + 2 + 619 + 4 + 24 = 666.

47242619424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 47242619424.

It is not an unprimeable number, because it can be changed into a prime (47242619429) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 458666157 + ... + 458666259.

It is an arithmetic number, because the mean of its divisors is an integer number (166149984).

Almost surely, 2^47242619424 is an apocalyptic number.

47242619424 is a gapful number since it is divisible by the number (44) 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 47242619424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95702390784).

47242619424 is an abundant number, since it is smaller than the sum of its proper divisors (144162162144).

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

47242619424 is a wasteful number, since it uses less digits than its factorization.

47242619424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

It can be divided in two parts, 47242 and 619424, that added together give a palindrome (666666).

The spelling of 47242619424 in words is "forty-seven billion, two hundred forty-two million, six hundred nineteen thousand, four hundred twenty-four".