20142414240 has 96 divisors (see below), whose sum is σ = 68329287936. Its totient is φ = 4958131200.

The previous prime is 20142414233. The next prime is 20142414247. The reversal of 20142414240 is 4241424102.

It is an interprime number because it is at equal distance from previous prime (20142414233) and next prime (20142414247).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20142414240.

It is not an unprimeable number, because it can be changed into a prime (20142414247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1607736 + ... + 1620215.

It is an arithmetic number, because the mean of its divisors is an integer number (711763416).

Almost surely, 2^20142414240 is an apocalyptic number.

20142414240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20142414240 is an abundant number, since it is smaller than the sum of its proper divisors (48186873696).

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

20142414240 is a wasteful number, since it uses less digits than its factorization.

20142414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227982 (or 3227974 counting only the distinct ones).

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

Adding to 20142414240 its reverse (4241424102), we get a palindrome (24383838342).

The spelling of 20142414240 in words is "twenty billion, one hundred forty-two million, four hundred fourteen thousand, two hundred forty".