4461402240 has 192 divisors, whose sum is σ = 15976920960. Its totient is φ = 1189665792.

The previous prime is 4461402229. The next prime is 4461402251. The reversal of 4461402240 is 422041644.

It is a happy number.

4461402240 is a `hidden beast` number, since 4 + 4 + 614 + 0 + 2 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4461402229) and next prime (4461402251).

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 141177 + ... + 169863.

It is an arithmetic number, because the mean of its divisors is an integer number (83213130).

Almost surely, 2^4461402240 is an apocalyptic number.

4461402240 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 4461402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988460480).

4461402240 is an abundant number, since it is smaller than the sum of its proper divisors (11515518720).

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

4461402240 is an equidigital number, since it uses as much as digits as its factorization.

4461402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28721 (or 28697 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4461402240 is about 66793.7290469697. The cubic root of 4461402240 is about 1646.2298050148.

Adding to 4461402240 its reverse (422041644), we get a palindrome (4883443884).

The spelling of 4461402240 in words is "four billion, four hundred sixty-one million, four hundred two thousand, two hundred forty".