2406353221440 has 336 divisors, whose sum is σ = 9579003732480. Its totient is φ = 543060910080.

The previous prime is 2406353221427. The next prime is 2406353221471. The reversal of 2406353221440 is 441223536042.

2406353221440 is a `hidden beast` number, since 2 + 4 + 0 + 63 + 532 + 21 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2406353221395 and 2406353221404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837180 + ... + 2348100.

It is an arithmetic number, because the mean of its divisors is an integer number (28508939680).

Almost surely, 2^{2406353221440} is an apocalyptic number.

2406353221440 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 2406353221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789501866240).

2406353221440 is an abundant number, since it is smaller than the sum of its proper divisors (7172650511040).

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

2406353221440 is a wasteful number, since it uses less digits than its factorization.

2406353221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511030 (or 1511017 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 2406353221440 its reverse (441223536042), we get a palindrome (2847576757482).

The spelling of 2406353221440 in words is "two trillion, four hundred six billion, three hundred fifty-three million, two hundred twenty-one thousand, four hundred forty".