2405333406240 has 288 divisors, whose sum is σ = 8354805129216. Its totient is φ = 630066124800.

The previous prime is 2405333406233. The next prime is 2405333406271. The reversal of 2405333406240 is 426043335042.

2405333406240 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 3 + 3 + 3 + 406 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 2405333406195 and 2405333406204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18405769 + ... + 18535991.

It is an arithmetic number, because the mean of its divisors is an integer number (29009740032).

Almost surely, 2^{2405333406240} is an apocalyptic number.

2405333406240 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 2405333406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177402564608).

2405333406240 is an abundant number, since it is smaller than the sum of its proper divisors (5949471722976).

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

2405333406240 is a wasteful number, since it uses less digits than its factorization.

2405333406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130472 (or 130461 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 2405333406240 in words is "two trillion, four hundred five billion, three hundred thirty-three million, four hundred six thousand, two hundred forty".