4793897481440 has 576 divisors, whose sum is σ = 13060161515520. Its totient is φ = 1653239808000.

The previous prime is 4793897481407. The next prime is 4793897481487. The reversal of 4793897481440 is 441847983974.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31747665365 + ... + 31747665515.

It is an arithmetic number, because the mean of its divisors is an integer number (22673891520).

Almost surely, 2^{4793897481440} is an apocalyptic number.

4793897481440 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 4793897481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530080757760).

4793897481440 is an abundant number, since it is smaller than the sum of its proper divisors (8266264034080).

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

4793897481440 is a wasteful number, since it uses less digits than its factorization.

4793897481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 68.

The spelling of 4793897481440 in words is "four trillion, seven hundred ninety-three billion, eight hundred ninety-seven million, four hundred eighty-one thousand, four hundred forty".