4202461440 has 432 divisors, whose sum is σ = 15401131200. Its totient is φ = 1096851456.

The previous prime is 4202461409. The next prime is 4202461447. The reversal of 4202461440 is 441642024.

It is a happy number.

4202461440 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 4 + 614 + 40 = 666.

4202461440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202461447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18351246 + ... + 18351474.

Almost surely, 2^4202461440 is an apocalyptic number.

4202461440 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 4202461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700565600).

4202461440 is an abundant number, since it is smaller than the sum of its proper divisors (11198669760).

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

4202461440 is an equidigital number, since it uses as much as digits as its factorization.

4202461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 298 counting only the distinct ones).

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

The square root of 4202461440 is about 64826.3946244121. The cubic root of 4202461440 is about 1613.7437715995.

The spelling of 4202461440 in words is "four billion, two hundred two million, four hundred sixty-one thousand, four hundred forty".