2440444066400 has 36 divisors (see below), whose sum is σ = 5957734079052. Its totient is φ = 976177626240.

The previous prime is 2440444066399. The next prime is 2440444066421. The reversal of 2440444066400 is 46604440442.

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 5 ways as a sum of consecutive naturals, for example, 1525276742 + ... + 1525278341.

It is an arithmetic number, because the mean of its divisors is an integer number (165492613307).

Almost surely, 2^{2440444066400} is an apocalyptic number.

2440444066400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440444066400 is an abundant number, since it is smaller than the sum of its proper divisors (3517290012652).

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

2440444066400 is a wasteful number, since it uses less digits than its factorization.

2440444066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050555103 (or 3050555090 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

The spelling of 2440444066400 in words is "two trillion, four hundred forty billion, four hundred forty-four million, sixty-six thousand, four hundred".