2040400245312 has 1792 divisors, whose sum is σ = 7820732989440. Its totient is φ = 512394854400.

The previous prime is 2040400245253. The next prime is 2040400245313. The reversal of 2040400245312 is 2135420040402.

2040400245312 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 400 + 245 + 3 + 12 = 666.

It is a super-2 number, since 2×2040400245312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2040400245313) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6518850468 + ... + 6518850780.

It is an arithmetic number, because the mean of its divisors is an integer number (4364248320).

Almost surely, 2^{2040400245312} is an apocalyptic number.

2040400245312 is a gapful number since it is divisible by the number (22) 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 2040400245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910366494720).

2040400245312 is an abundant number, since it is smaller than the sum of its proper divisors (5780332744128).

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

2040400245312 is a wasteful number, since it uses less digits than its factorization.

2040400245312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 2040400245312 its reverse (2135420040402), we get a palindrome (4175820285714).

The spelling of 2040400245312 in words is "two trillion, forty billion, four hundred million, two hundred forty-five thousand, three hundred twelve".