4876194049440 has 768 divisors, whose sum is σ = 18312376320000. Its totient is φ = 1067250401280.

The previous prime is 4876194049423. The next prime is 4876194049469. The reversal of 4876194049440 is 449404916784.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5882018946 + ... + 5882019774.

It is an arithmetic number, because the mean of its divisors is an integer number (23844240000).

Almost surely, 2^{4876194049440} is an apocalyptic number.

4876194049440 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 4876194049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9156188160000).

4876194049440 is an abundant number, since it is smaller than the sum of its proper divisors (13436182270560).

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

4876194049440 is a wasteful number, since it uses less digits than its factorization.

4876194049440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 4876194049440 in words is "four trillion, eight hundred seventy-six billion, one hundred ninety-four million, forty-nine thousand, four hundred forty".