4374781440 has 240 divisors, whose sum is σ = 14310918864. Its totient is φ = 1139998720.

The previous prime is 4374781409. The next prime is 4374781441. The reversal of 4374781440 is 441874734.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 4374781392 and 4374781401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4374781441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38714824 + ... + 38714936.

Almost surely, 2^4374781440 is an apocalyptic number.

4374781440 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 4374781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7155459432).

4374781440 is an abundant number, since it is smaller than the sum of its proper divisors (9936137424).

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

4374781440 is an equidigital number, since it uses as much as digits as its factorization.

4374781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 4374781440 is about 66142.1305976758. The cubic root of 4374781440 is about 1635.5059194311.

The spelling of 4374781440 in words is "four billion, three hundred seventy-four million, seven hundred eighty-one thousand, four hundred forty".