2440000400400 has 120 divisors (see below), whose sum is σ = 8684594056160. Its totient is φ = 650666770560.

The previous prime is 2440000400393. The next prime is 2440000400417. The reversal of 2440000400400 is 40040000442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112952182 + ... + 112973781.

Almost surely, 2^{2440000400400} is an apocalyptic number.

2440000400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440000400400 is an abundant number, since it is smaller than the sum of its proper divisors (6244593655760).

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

2440000400400 is a wasteful number, since it uses less digits than its factorization.

2440000400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225925990 (or 225925973 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2440000400400 its reverse (40040000442), we get a palindrome (2480040400842).

The spelling of 2440000400400 in words is "two trillion, four hundred forty billion, four hundred thousand, four hundred".