4242364471296 has 480 divisors, whose sum is σ = 14949139645440. Its totient is φ = 1172994048000.

The previous prime is 4242364471291. The next prime is 4242364471313. The reversal of 4242364471296 is 6921744632424.

4242364471296 is a `hidden beast` number, since 4 + 2 + 4 + 23 + 64 + 471 + 2 + 96 = 666.

It is a super-3 number, since 3×4242364471296³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242364471291) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35938771 + ... + 36056621.

It is an arithmetic number, because the mean of its divisors is an integer number (31144040928).

Almost surely, 2^{4242364471296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242364471296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7474569822720).

4242364471296 is an abundant number, since it is smaller than the sum of its proper divisors (10706775174144).

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

4242364471296 is a wasteful number, since it uses less digits than its factorization.

4242364471296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117923 (or 117894 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 4242364471296 in words is "four trillion, two hundred forty-two billion, three hundred sixty-four million, four hundred seventy-one thousand, two hundred ninety-six".