4419763920 has 640 divisors, whose sum is σ = 18373824000. Its totient is φ = 962150400.

The previous prime is 4419763889. The next prime is 4419763949. The reversal of 4419763920 is 293679144.

It is a happy number.

4419763920 is a `hidden beast` number, since 4 + 4 + 1 + 9 + 7 + 639 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12663906 + ... + 12664254.

It is an arithmetic number, because the mean of its divisors is an integer number (28709100).

Almost surely, 2^4419763920 is an apocalyptic number.

4419763920 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 4419763920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186912000).

4419763920 is an abundant number, since it is smaller than the sum of its proper divisors (13954060080).

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

4419763920 is a wasteful number, since it uses less digits than its factorization.

4419763920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4419763920 is about 66481.3050413423. The cubic root of 4419763920 is about 1641.0923616754.

The spelling of 4419763920 in words is "four billion, four hundred nineteen million, seven hundred sixty-three thousand, nine hundred twenty".