2014420032000 has 480 divisors, whose sum is σ = 7682398433424. Its totient is φ = 505577472000.

The previous prime is 2014420031989. The next prime is 2014420032139. The reversal of 2014420032000 is 2300244102.

2014420032000 is a `hidden beast` number, since 2 + 0 + 144 + 200 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 367119657216 + 1647300374784 = 605904^2 + 1283472^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 9689140 + ... + 9894860.

Almost surely, 2^{2014420032000} is an apocalyptic number.

2014420032000 is a gapful number since it is divisible by the number (20) 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 2014420032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841199216712).

2014420032000 is an abundant number, since it is smaller than the sum of its proper divisors (5667978401424).

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

2014420032000 is a wasteful number, since it uses less digits than its factorization.

2014420032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205777 (or 205748 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2014420032000 its reverse (2300244102), we get a palindrome (2016720276102).

The spelling of 2014420032000 in words is "two trillion, fourteen billion, four hundred twenty million, thirty-two thousand".