4401825120 has 720 divisors, whose sum is σ = 19563423264. Its totient is φ = 912384000.

The previous prime is 4401825119. The next prime is 4401825137. The reversal of 4401825120 is 215281044.

4401825120 is a `hidden beast` number, since 4 + 401 + 8 + 251 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 10976920 + ... + 10977320.

Almost surely, 2^4401825120 is an apocalyptic number.

4401825120 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 4401825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9781711632).

4401825120 is an abundant number, since it is smaller than the sum of its proper divisors (15161598144).

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

4401825120 is a wasteful number, since it uses less digits than its factorization.

4401825120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4401825120 is about 66346.2517403960. The cubic root of 4401825120 is about 1638.8690795235.

The spelling of 4401825120 in words is "four billion, four hundred one million, eight hundred twenty-five thousand, one hundred twenty".