4562938275840 has 768 divisors, whose sum is σ = 18656248665600. Its totient is φ = 1036245270528.

The previous prime is 4562938275839. The next prime is 4562938275853. The reversal of 4562938275840 is 485728392654.

4562938275840 is a `hidden beast` number, since 4 + 5 + 6 + 29 + 3 + 8 + 27 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×4562938275840³ (a number of 39 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 303844012 + ... + 303859028.

It is an arithmetic number, because the mean of its divisors is an integer number (24291990450).

Almost surely, 2^{4562938275840} is an apocalyptic number.

4562938275840 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 4562938275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9328124332800).

4562938275840 is an abundant number, since it is smaller than the sum of its proper divisors (14093310389760).

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

4562938275840 is a wasteful number, since it uses less digits than its factorization.

4562938275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15217 (or 15191 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 4562938275840 in words is "four trillion, five hundred sixty-two billion, nine hundred thirty-eight million, two hundred seventy-five thousand, eight hundred forty".