2400412140042 has 192 divisors, whose sum is σ = 5801713827840. Its totient is φ = 659671084800.

The previous prime is 2400412140041. The next prime is 2400412140047.

2400412140042 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2400412140042² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400412139994 and 2400412140021.

It is not an unprimeable number, because it can be changed into a prime (2400412140041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 867512943 + ... + 867515709.

It is an arithmetic number, because the mean of its divisors is an integer number (30217259520).

Almost surely, 2^{2400412140042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400412140042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900856913920).

2400412140042 is an abundant number, since it is smaller than the sum of its proper divisors (3401301687798).

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

2400412140042 is a wasteful number, since it uses less digits than its factorization.

2400412140042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3810 counting only the distinct ones).

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

The spelling of 2400412140042 in words is "two trillion, four hundred billion, four hundred twelve million, one hundred forty thousand, forty-two".