1340124144000 has 256 divisors, whose sum is σ = 4703838609600. Its totient is φ = 336344678400.

The previous prime is 1340124143999. The next prime is 1340124144001. The reversal of 1340124144000 is 4414210431.

It is an interprime number because it is at equal distance from previous prime (1340124143999) and next prime (1340124144001).

It is a super-3 number, since 3×1340124144000³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340124144001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5155 + ... + 1637154.

Almost surely, 2^{1340124144000} is an apocalyptic number.

1340124144000 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 1340124144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351919304800).

1340124144000 is an abundant number, since it is smaller than the sum of its proper divisors (3363714465600).

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

1340124144000 is a wasteful number, since it uses less digits than its factorization.

1340124144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642358 (or 1642336 counting only the distinct ones).

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

Adding to 1340124144000 its reverse (4414210431), we get a palindrome (1344538354431).

The spelling of 1340124144000 in words is "one trillion, three hundred forty billion, one hundred twenty-four million, one hundred forty-four thousand".