1414040120000 has 140 divisors (see below), whose sum is σ = 3580968098400. Its totient is φ = 553580928000.

The previous prime is 1414040119997. The next prime is 1414040120021. The reversal of 1414040120000 is 210404141.

It is a super-2 number, since 2×1414040120000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1503926 + ... + 2256074.

It is an arithmetic number, because the mean of its divisors is an integer number (25578343560).

Almost surely, 2^{1414040120000} is an apocalyptic number.

1414040120000 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 1414040120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790484049200).

1414040120000 is an abundant number, since it is smaller than the sum of its proper divisors (2166927978400).

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

1414040120000 is an frugal number, since it uses more digits than its factorization.

1414040120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752228 (or 752203 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1414040120000 its reverse (210404141), we get a palindrome (1414250524141).

The spelling of 1414040120000 in words is "one trillion, four hundred fourteen billion, forty million, one hundred twenty thousand".