1424202414000 has 240 divisors, whose sum is σ = 4637739668640. Its totient is φ = 376010880000.

The previous prime is 1424202413999. The next prime is 1424202414113. The reversal of 1424202414000 is 4142024241.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61194366 + ... + 61217634.

It is an arithmetic number, because the mean of its divisors is an integer number (19323915286).

Almost surely, 2^{1424202414000} is an apocalyptic number.

1424202414000 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 1424202414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318869834320).

1424202414000 is an abundant number, since it is smaller than the sum of its proper divisors (3213537254640).

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

1424202414000 is a wasteful number, since it uses less digits than its factorization.

1424202414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23497 (or 23380 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1424202414000 its reverse (4142024241), we get a palindrome (1428344438241).

It can be divided in two parts, 142420241 and 4000, that added together give a palindrome (142424241).

The spelling of 1424202414000 in words is "one trillion, four hundred twenty-four billion, two hundred two million, four hundred fourteen thousand".