20114010240 has 512 divisors, whose sum is σ = 70314393600. Its totient is φ = 4877107200.

The previous prime is 20114010227. The next prime is 20114010281. The reversal of 20114010240 is 4201041102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74221305 + ... + 74221575.

It is an arithmetic number, because the mean of its divisors is an integer number (137332800).

Almost surely, 2^20114010240 is an apocalyptic number.

20114010240 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 20114010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35157196800).

20114010240 is an abundant number, since it is smaller than the sum of its proper divisors (50200383360).

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

20114010240 is a wasteful number, since it uses less digits than its factorization.

20114010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20114010240 its reverse (4201041102), we get a palindrome (24315051342).

The spelling of 20114010240 in words is "twenty billion, one hundred fourteen million, ten thousand, two hundred forty".