4906834380800 has 288 divisors, whose sum is σ = 13338974376000. Its totient is φ = 1775296512000.

The previous prime is 4906834380743. The next prime is 4906834380803. The reversal of 4906834380800 is 80834386094.

It is not an unprimeable number, because it can be changed into a prime (4906834380803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112054910 + ... + 112098690.

It is an arithmetic number, because the mean of its divisors is an integer number (46315883250).

Almost surely, 2^{4906834380800} is an apocalyptic number.

4906834380800 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 4906834380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6669487188000).

4906834380800 is an abundant number, since it is smaller than the sum of its proper divisors (8432139995200).

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

4906834380800 is a wasteful number, since it uses less digits than its factorization.

4906834380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44023 (or 43998 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 53.

The spelling of 4906834380800 in words is "four trillion, nine hundred six billion, eight hundred thirty-four million, three hundred eighty thousand, eight hundred".