4950334540800 has 1584 divisors, whose sum is σ = 20489158609920. Its totient is φ = 1129365504000.

The previous prime is 4950334540793. The next prime is 4950334540843. The reversal of 4950334540800 is 80454330594.

4950334540800 is a `hidden beast` number, since 4 + 95 + 0 + 33 + 454 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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

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, 10738252570 + ... + 10738253030.

It is an arithmetic number, because the mean of its divisors is an integer number (12935074880).

Almost surely, 2^{4950334540800} is an apocalyptic number.

4950334540800 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 4950334540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244579304960).

4950334540800 is an abundant number, since it is smaller than the sum of its proper divisors (15538824069120).

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

4950334540800 is a wasteful number, since it uses less digits than its factorization.

4950334540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 4950334540800 in words is "four trillion, nine hundred fifty billion, three hundred thirty-four million, five hundred forty thousand, eight hundred".