4101402240 has 192 divisors, whose sum is σ = 15252368040. Its totient is φ = 1009557504.

The previous prime is 4101402223. The next prime is 4101402247. The reversal of 4101402240 is 422041014.

4101402240 is a `hidden beast` number, since 410 + 14 + 0 + 2 + 240 = 666.

4101402240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3591365184 + 510037056 = 59928^2 + 22584^2 .

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 (18).

It is not an unprimeable number, because it can be changed into a prime (4101402247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47494 + ... + 102266.

Almost surely, 2^4101402240 is an apocalyptic number.

4101402240 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 4101402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7626184020).

4101402240 is an abundant number, since it is smaller than the sum of its proper divisors (11150965800).

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

4101402240 is a wasteful number, since it uses less digits than its factorization.

4101402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54811 (or 54796 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4101402240 is about 64042.1910930599. The cubic root of 4101402240 is about 1600.7031076462.

Adding to 4101402240 its reverse (422041014), we get a palindrome (4523443254).

The spelling of 4101402240 in words is "four billion, one hundred one million, four hundred two thousand, two hundred forty".