4390513920 has 432 divisors, whose sum is σ = 17231410560. Its totient is φ = 1023197184.

The previous prime is 4390513903. The next prime is 4390513951. The reversal of 4390513920 is 293150934.

It is a happy number.

It is a super-2 number, since 2×4390513920² = 38553224963427532800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2844669 + ... + 2846211.

Almost surely, 2^4390513920 is an apocalyptic number.

4390513920 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 4390513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8615705280).

4390513920 is an abundant number, since it is smaller than the sum of its proper divisors (12840896640).

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

4390513920 is a wasteful number, since it uses less digits than its factorization.

4390513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 4390513920 is about 66260.9532077528. The cubic root of 4390513920 is about 1637.4640958660.

The spelling of 4390513920 in words is "four billion, three hundred ninety million, five hundred thirteen thousand, nine hundred twenty".