4915935360000 has 4400 divisors, whose sum is σ = 23770343055360. Its totient is φ = 985374720000.

The previous prime is 4915935359989. The next prime is 4915935360013. The reversal of 4915935360000 is 635395194.

4915935360000 is a `hidden beast` number, since 4 + 9 + 1 + 5 + 9 + 35 + 3 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 158578559985 + ... + 158578560015.

Almost surely, 2^{4915935360000} is an apocalyptic number.

4915935360000 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 4915935360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11885171527680).

4915935360000 is an abundant number, since it is smaller than the sum of its proper divisors (18854407695360).

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

4915935360000 is a wasteful number, since it uses less digits than its factorization.

4915935360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 4915935360000 in words is "four trillion, nine hundred fifteen billion, nine hundred thirty-five million, three hundred sixty thousand".