1240444016400 has 240 divisors, whose sum is σ = 4114765209600. Its totient is φ = 319053127680.

The previous prime is 1240444016347. The next prime is 1240444016467. The reversal of 1240444016400 is 46104440421.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35095537 + ... + 35130863.

It is an arithmetic number, because the mean of its divisors is an integer number (17144855040).

Almost surely, 2^{1240444016400} is an apocalyptic number.

1240444016400 is a gapful number since it is divisible by the number (10) 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 1240444016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057382604800).

1240444016400 is an abundant number, since it is smaller than the sum of its proper divisors (2874321193200).

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

1240444016400 is a wasteful number, since it uses less digits than its factorization.

1240444016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36386 (or 36375 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1240444016400 its reverse (46104440421), we get a palindrome (1286548456821).

The spelling of 1240444016400 in words is "one trillion, two hundred forty billion, four hundred forty-four million, sixteen thousand, four hundred".