4782769873440 has 768 divisors, whose sum is σ = 17510399907840. Its totient is φ = 1086759567360.

The previous prime is 4782769873429. The next prime is 4782769873487. The reversal of 4782769873440 is 443789672874.

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, 4925612155 + ... + 4925613125.

It is an arithmetic number, because the mean of its divisors is an integer number (22799999880).

Almost surely, 2^{4782769873440} is an apocalyptic number.

4782769873440 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 4782769873440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8755199953920).

4782769873440 is an abundant number, since it is smaller than the sum of its proper divisors (12727630034400).

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

4782769873440 is a wasteful number, since it uses less digits than its factorization.

4782769873440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 69.

The spelling of 4782769873440 in words is "four trillion, seven hundred eighty-two billion, seven hundred sixty-nine million, eight hundred seventy-three thousand, four hundred forty".