4965700823424 has 512 divisors, whose sum is σ = 16302534336000. Its totient is φ = 1475297280000.

The previous prime is 4965700823417. The next prime is 4965700823441. The reversal of 4965700823424 is 4243280075694.

It is a happy number.

4965700823424 is a `hidden beast` number, since 4 + 9 + 6 + 570 + 0 + 8 + 23 + 42 + 4 = 666.

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

It is a congruent number.

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, 899417784 + ... + 899423304.

It is an arithmetic number, because the mean of its divisors is an integer number (31840887375).

Almost surely, 2^{4965700823424} is an apocalyptic number.

4965700823424 is a gapful number since it is divisible by the number (44) 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 4965700823424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8151267168000).

4965700823424 is an abundant number, since it is smaller than the sum of its proper divisors (11336833512576).

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

4965700823424 is a wasteful number, since it uses less digits than its factorization.

4965700823424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6015 (or 5997 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4965700823424 in words is "four trillion, nine hundred sixty-five billion, seven hundred million, eight hundred twenty-three thousand, four hundred twenty-four".