4398145920 has 288 divisors, whose sum is σ = 17668048320. Its totient is φ = 1005225984.

The previous prime is 4398145879. The next prime is 4398145943. The reversal of 4398145920 is 295418934.

4398145920 is a `hidden beast` number, since 43 + 9 + 8 + 14 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4398145920² = 38687375067225292800, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 274449 + ... + 290031.

It is an arithmetic number, because the mean of its divisors is an integer number (61347390).

Almost surely, 2^4398145920 is an apocalyptic number.

4398145920 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 4398145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8834024160).

4398145920 is an abundant number, since it is smaller than the sum of its proper divisors (13269902400).

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

4398145920 is a wasteful number, since it uses less digits than its factorization.

4398145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15622 (or 15600 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4398145920 is about 66318.5186806822. The cubic root of 4398145920 is about 1638.4123441402.

The spelling of 4398145920 in words is "four billion, three hundred ninety-eight million, one hundred forty-five thousand, nine hundred twenty".