1144310400240 has 80 divisors (see below), whose sum is σ = 4054128281088. Its totient is φ = 261556662528.

The previous prime is 1144310400217. The next prime is 1144310400241. The reversal of 1144310400240 is 420040134411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1144310400240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144310400241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340566892 + ... + 340570251.

Almost surely, 2^{1144310400240} is an apocalyptic number.

1144310400240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144310400240 is an abundant number, since it is smaller than the sum of its proper divisors (2909817880848).

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

1144310400240 is a wasteful number, since it uses less digits than its factorization.

1144310400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681137166 (or 681137160 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1144310400240 its reverse (420040134411), we get a palindrome (1564350534651).

The spelling of 1144310400240 in words is "one trillion, one hundred forty-four billion, three hundred ten million, four hundred thousand, two hundred forty".