20140400012040 has 192 divisors, whose sum is σ = 81607854706560. Its totient is φ = 4185018178560.

The previous prime is 20140400012017. The next prime is 20140400012053. The reversal of 20140400012040 is 4021000404102.

20140400012040 is a `hidden beast` number, since 2 + 0 + 140 + 400 + 0 + 120 + 4 + 0 = 666.

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

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, 363255109 + ... + 363310548.

It is an arithmetic number, because the mean of its divisors is an integer number (425040909930).

Almost surely, 2^{20140400012040} is an apocalyptic number.

20140400012040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20140400012040 is an abundant number, since it is smaller than the sum of its proper divisors (61467454694520).

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

20140400012040 is a wasteful number, since it uses less digits than its factorization.

20140400012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726565692 (or 726565685 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20140400012040 its reverse (4021000404102), we get a palindrome (24161400416142).

The spelling of 20140400012040 in words is "twenty trillion, one hundred forty billion, four hundred million, twelve thousand, forty".