4962828999744 has 1008 divisors, whose sum is σ = 19501788458880. Its totient is φ = 1213085859840.

The previous prime is 4962828999683. The next prime is 4962828999839. The reversal of 4962828999744 is 4479998282694.

4962828999744 is a `hidden beast` number, since 496 + 2 + 8 + 2 + 89 + 9 + 9 + 7 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

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, 549649822 + ... + 549658850.

It is an arithmetic number, because the mean of its divisors is an integer number (19347012360).

Almost surely, 2^{4962828999744} is an apocalyptic number.

4962828999744 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 4962828999744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9750894229440).

4962828999744 is an abundant number, since it is smaller than the sum of its proper divisors (14538959459136).

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

4962828999744 is an equidigital number, since it uses as much as digits as its factorization.

4962828999744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9100 (or 9069 counting only the distinct ones).

The product of its digits is 4514807808, while the sum is 81.

The spelling of 4962828999744 in words is "four trillion, nine hundred sixty-two billion, eight hundred twenty-eight million, nine hundred ninety-nine thousand, seven hundred forty-four".