4936375059840 has 1152 divisors, whose sum is σ = 21605119351200. Its totient is φ = 1061890228224.

The previous prime is 4936375059839. The next prime is 4936375059853. The reversal of 4936375059840 is 489505736394.

4936375059840 is a `hidden beast` number, since 4 + 9 + 3 + 6 + 37 + 5 + 0 + 598 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 244691994 + ... + 244712166.

Almost surely, 2^{4936375059840} is an apocalyptic number.

4936375059840 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 4936375059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802559675600).

4936375059840 is an abundant number, since it is smaller than the sum of its proper divisors (16668744291360).

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

4936375059840 is a wasteful number, since it uses less digits than its factorization.

4936375059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20249 (or 20207 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 4936375059840 in words is "four trillion, nine hundred thirty-six billion, three hundred seventy-five million, fifty-nine thousand, eight hundred forty".