1344004010100 has 288 divisors, whose sum is σ = 4379749678080. Its totient is φ = 357935500800.

The previous prime is 1344004010039. The next prime is 1344004010161. The reversal of 1344004010100 is 10104004431.

It is an interprime number because it is at equal distance from previous prime (1344004010039) and next prime (1344004010161).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188734540 + ... + 188741660.

It is an arithmetic number, because the mean of its divisors is an integer number (15207464160).

Almost surely, 2^{1344004010100} is an apocalyptic number.

1344004010100 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 1344004010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189874839040).

1344004010100 is an abundant number, since it is smaller than the sum of its proper divisors (3035745667980).

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

1344004010100 is an equidigital number, since it uses as much as digits as its factorization.

1344004010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8019 (or 7994 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1344004010100 its reverse (10104004431), we get a palindrome (1354108014531).

The spelling of 1344004010100 in words is "one trillion, three hundred forty-four billion, four million, ten thousand, one hundred".