2401132440 has 128 divisors (see below), whose sum is σ = 8372160000. Its totient is φ = 539516928.

The previous prime is 2401132417. The next prime is 2401132441. The reversal of 2401132440 is 442311042.

It is a super-3 number, since 3×2401132440³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401132441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25336 + ... + 73784.

It is an arithmetic number, because the mean of its divisors is an integer number (65407500).

Almost surely, 2^2401132440 is an apocalyptic number.

2401132440 is a gapful number since it is divisible by the number (20) 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 2401132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186080000).

2401132440 is an abundant number, since it is smaller than the sum of its proper divisors (5971027560).

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

2401132440 is a wasteful number, since it uses less digits than its factorization.

2401132440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48529 (or 48525 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2401132440 is about 49001.3514099356. The cubic root of 2401132440 is about 1339.0764483438.

Adding to 2401132440 its reverse (442311042), we get a palindrome (2843443482).

The spelling of 2401132440 in words is "two billion, four hundred one million, one hundred thirty-two thousand, four hundred forty".