40012114020320 has 96 divisors (see below), whose sum is σ = 101830376067840. Its totient is φ = 14769302814720.

The previous prime is 40012114020311. The next prime is 40012114020323. The reversal of 40012114020320 is 2302041121004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40012114020292 and 40012114020301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40012114020323) 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, 4123280 + ... + 9850160.

It is an arithmetic number, because the mean of its divisors is an integer number (1060733084040).

Almost surely, 2^{40012114020320} is an apocalyptic number.

40012114020320 is a gapful number since it is divisible by the number (40) 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 40012114020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50915188033920).

40012114020320 is an abundant number, since it is smaller than the sum of its proper divisors (61818262047520).

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

40012114020320 is a wasteful number, since it uses less digits than its factorization.

40012114020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730268 (or 5730260 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 40012114020320 its reverse (2302041121004), we get a palindrome (42314155141324).

The spelling of 40012114020320 in words is "forty trillion, twelve billion, one hundred fourteen million, twenty thousand, three hundred twenty".