4935310646400 has 1536 divisors, whose sum is σ = 19116126489600. Its totient is φ = 1242169344000.

The previous prime is 4935310646389. The next prime is 4935310646407. The reversal of 4935310646400 is 46460135394.

4935310646400 is a `hidden beast` number, since 4 + 93 + 53 + 106 + 4 + 6 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4935310646407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18211478265 + ... + 18211478535.

It is an arithmetic number, because the mean of its divisors is an integer number (12445394850).

Almost surely, 2^{4935310646400} is an apocalyptic number.

4935310646400 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 4935310646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9558063244800).

4935310646400 is an abundant number, since it is smaller than the sum of its proper divisors (14180815843200).

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

4935310646400 is a wasteful number, since it uses less digits than its factorization.

4935310646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 4935310646400 in words is "four trillion, nine hundred thirty-five billion, three hundred ten million, six hundred forty-six thousand, four hundred".