2440200400000 has 1152 divisors, whose sum is σ = 7485524020800. Its totient is φ = 783360000000.

The previous prime is 2440200399937. The next prime is 2440200400037. The reversal of 2440200400000 is 40020442.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24160399950 + ... + 24160400050.

Almost surely, 2^{2440200400000} is an apocalyptic number.

2440200400000 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 2440200400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742762010400).

2440200400000 is an abundant number, since it is smaller than the sum of its proper divisors (5045323620800).

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

2440200400000 is a wasteful number, since it uses less digits than its factorization.

2440200400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2440200400000 its reverse (40020442), we get a palindrome (2440240420442).

The spelling of 2440200400000 in words is "two trillion, four hundred forty billion, two hundred million, four hundred thousand".