2042134310040 has 256 divisors, whose sum is σ = 7150438771200. Its totient is φ = 461317939200.

The previous prime is 2042134310039. The next prime is 2042134310053. The reversal of 2042134310040 is 400134312402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 862464 + ... + 2197296.

It is an arithmetic number, because the mean of its divisors is an integer number (27931401450).

Almost surely, 2^{2042134310040} is an apocalyptic number.

2042134310040 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 2042134310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575219385600).

2042134310040 is an abundant number, since it is smaller than the sum of its proper divisors (5108304461160).

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

2042134310040 is a wasteful number, since it uses less digits than its factorization.

2042134310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334938 (or 1334934 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2042134310040 its reverse (400134312402), we get a palindrome (2442268622442).

The spelling of 2042134310040 in words is "two trillion, forty-two billion, one hundred thirty-four million, three hundred ten thousand, forty".