2406001921440 has 288 divisors, whose sum is σ = 8291377152576. Its totient is φ = 586139074560.

The previous prime is 2406001921423. The next prime is 2406001921441. The reversal of 2406001921440 is 441291006042.

It is not an unprimeable number, because it can be changed into a prime (2406001921441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7715755 + ... + 8021525.

It is an arithmetic number, because the mean of its divisors is an integer number (28789504002).

Almost surely, 2^{2406001921440} is an apocalyptic number.

2406001921440 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 2406001921440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145688576288).

2406001921440 is an abundant number, since it is smaller than the sum of its proper divisors (5885375231136).

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

2406001921440 is a wasteful number, since it uses less digits than its factorization.

2406001921440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305912 (or 305891 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 2406001921440 its reverse (441291006042), we get a palindrome (2847292927482).

The spelling of 2406001921440 in words is "two trillion, four hundred six billion, one million, nine hundred twenty-one thousand, four hundred forty".