4001210240 has 64 divisors (see below), whose sum is σ = 9629820000. Its totient is φ = 1589704704.

The previous prime is 4001210237. The next prime is 4001210261. The reversal of 4001210240 is 420121004.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74381 + ... + 116339.

Almost surely, 2^4001210240 is an apocalyptic number.

4001210240 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 4001210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814910000).

4001210240 is an abundant number, since it is smaller than the sum of its proper divisors (5628609760).

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

4001210240 is a wasteful number, since it uses less digits than its factorization.

4001210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42127 (or 42115 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4001210240 is about 63255.1202670582. The cubic root of 4001210240 is about 1587.5611305123.

Adding to 4001210240 its reverse (420121004), we get a palindrome (4421331244).

The spelling of 4001210240 in words is "four billion, one million, two hundred ten thousand, two hundred forty".