4912756163840 has 288 divisors, whose sum is σ = 14517322606080. Its totient is φ = 1555581468672.

The previous prime is 4912756163839. The next prime is 4912756163867. The reversal of 4912756163840 is 483616572194.

It is a happy number.

It is a super-3 number, since 3×4912756163840³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5565302 + ... + 6387338.

It is an arithmetic number, because the mean of its divisors is an integer number (50407370160).

It is a 1-persistent number, because it is pandigital, but 2⋅4912756163840 = 9825512327680 is not.

Almost surely, 2^{4912756163840} is an apocalyptic number.

4912756163840 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 4912756163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7258661303040).

4912756163840 is an abundant number, since it is smaller than the sum of its proper divisors (9604566442240).

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

4912756163840 is a wasteful number, since it uses less digits than its factorization.

4912756163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822117 (or 822103 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 4912756163840 in words is "four trillion, nine hundred twelve billion, seven hundred fifty-six million, one hundred sixty-three thousand, eight hundred forty".