1124414214140 has 72 divisors (see below), whose sum is σ = 2748383456112. Its totient is φ = 385288861440.

The previous prime is 1124414214137. The next prime is 1124414214197. The reversal of 1124414214140 is 414124144211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1353239 + ... + 2019921.

It is an arithmetic number, because the mean of its divisors is an integer number (38171992446).

Almost surely, 2^{1124414214140} is an apocalyptic number.

1124414214140 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 1124414214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374191728056).

1124414214140 is an abundant number, since it is smaller than the sum of its proper divisors (1623969241972).

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

1124414214140 is a wasteful number, since it uses less digits than its factorization.

1124414214140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668427 (or 668418 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

Adding to 1124414214140 its reverse (414124144211), we get a palindrome (1538538358351).

The spelling of 1124414214140 in words is "one trillion, one hundred twenty-four billion, four hundred fourteen million, two hundred fourteen thousand, one hundred forty".