4390149120 has 528 divisors, whose sum is σ = 17249823360. Its totient is φ = 947552256.

The previous prime is 4390149109. The next prime is 4390149131. The reversal of 4390149120 is 219410934.

It is an interprime number because it is at equal distance from previous prime (4390149109) and next prime (4390149131).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14300007 + ... + 14300313.

It is an arithmetic number, because the mean of its divisors is an integer number (32670120).

Almost surely, 2^4390149120 is an apocalyptic number.

4390149120 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 4390149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8624911680).

4390149120 is an abundant number, since it is smaller than the sum of its proper divisors (12859674240).

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

4390149120 is a wasteful number, since it uses less digits than its factorization.

4390149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 4390149120 is about 66258.2003981394. The cubic root of 4390149120 is about 1637.4187432826.

The spelling of 4390149120 in words is "four billion, three hundred ninety million, one hundred forty-nine thousand, one hundred twenty".