4249365120 has 1152 divisors, whose sum is σ = 20147137920. Its totient is φ = 802897920.

The previous prime is 4249365119. The next prime is 4249365137. The reversal of 4249365120 is 215639424.

It is a happy number.

4249365120 is a `hidden beast` number, since 42 + 493 + 6 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×4249365120² = 36114207846145228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 63423327 + ... + 63423393.

It is an arithmetic number, because the mean of its divisors is an integer number (17488835).

Almost surely, 2^4249365120 is an apocalyptic number.

4249365120 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 4249365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10073568960).

4249365120 is an abundant number, since it is smaller than the sum of its proper divisors (15897772800).

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

4249365120 is a wasteful number, since it uses less digits than its factorization.

4249365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4249365120 is about 65187.1545628431. The cubic root of 4249365120 is about 1619.7252391813.

The spelling of 4249365120 in words is "four billion, two hundred forty-nine million, three hundred sixty-five thousand, one hundred twenty".