4491249840 has 720 divisors, whose sum is σ = 19529392896. Its totient is φ = 914457600.

The previous prime is 4491249817. The next prime is 4491249863. The reversal of 4491249840 is 489421944.

4491249840 is a `hidden beast` number, since 449 + 124 + 9 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4491249817) and next prime (4491249863).

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 (45).

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, 27553599 + ... + 27553761.

Almost surely, 2^4491249840 is an apocalyptic number.

4491249840 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 4491249840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9764696448).

4491249840 is an abundant number, since it is smaller than the sum of its proper divisors (15038143056).

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

4491249840 is a wasteful number, since it uses less digits than its factorization.

4491249840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4491249840 is about 67016.7877475487. The cubic root of 4491249840 is about 1649.8928415256.

The spelling of 4491249840 in words is "four billion, four hundred ninety-one million, two hundred forty-nine thousand, eight hundred forty".