4513863594240 has 5760 divisors, whose sum is σ = 23741584441344. Its totient is φ = 788299776000.

The previous prime is 4513863594211. The next prime is 4513863594269. The reversal of 4513863594240 is 424953683154.

It is a happy number.

4513863594240 is a `hidden beast` number, since 4 + 5 + 1 + 3 + 8 + 6 + 3 + 594 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4513863594211) and next prime (4513863594269).

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×4513863594240² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 73997763810 + ... + 73997763870.

Almost surely, 2^{4513863594240} is an apocalyptic number.

4513863594240 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 4513863594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11870792220672).

4513863594240 is an abundant number, since it is smaller than the sum of its proper divisors (19227720847104).

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

4513863594240 is a wasteful number, since it uses less digits than its factorization.

4513863594240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 4513863594240 in words is "four trillion, five hundred thirteen billion, eight hundred sixty-three million, five hundred ninety-four thousand, two hundred forty".