4385774741040 has 2400 divisors, whose sum is σ = 20122146475200. Its totient is φ = 876253593600.

The previous prime is 4385774741021. The next prime is 4385774741129. The reversal of 4385774741040 is 401474775834.

It is a happy number.

4385774741040 is a `hidden beast` number, since 4 + 3 + 85 + 77 + 47 + 410 + 40 = 666.

4385774741040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 18198235320 + ... + 18198235560.

It is an arithmetic number, because the mean of its divisors is an integer number (8384227698).

Almost surely, 2^{4385774741040} is an apocalyptic number.

4385774741040 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 4385774741040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10061073237600).

4385774741040 is an abundant number, since it is smaller than the sum of its proper divisors (15736371734160).

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

4385774741040 is a wasteful number, since it uses less digits than its factorization.

4385774741040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 4385774741040 in words is "four trillion, three hundred eighty-five billion, seven hundred seventy-four million, seven hundred forty-one thousand, forty".