4374073440 has 384 divisors, whose sum is σ = 16917465600. Its totient is φ = 1046661120.

The previous prime is 4374073423. The next prime is 4374073441. The reversal of 4374073440 is 443704734.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4374073395 and 4374073404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4374073441) 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 63 ways as a sum of consecutive naturals, for example, 3943606 + ... + 3944714.

It is an arithmetic number, because the mean of its divisors is an integer number (44055900).

Almost surely, 2^4374073440 is an apocalyptic number.

4374073440 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 4374073440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8458732800).

4374073440 is an abundant number, since it is smaller than the sum of its proper divisors (12543392160).

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

4374073440 is a wasteful number, since it uses less digits than its factorization.

4374073440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The square root of 4374073440 is about 66136.7782704903. The cubic root of 4374073440 is about 1635.4176864014.

The spelling of 4374073440 in words is "four billion, three hundred seventy-four million, seventy-three thousand, four hundred forty".