10342004020040 has 512 divisors, whose sum is σ = 29680680960000. Its totient is φ = 3150169989120.

The previous prime is 10342004020039. The next prime is 10342004020057. The reversal of 10342004020040 is 4002040024301.

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 = 10342004019994 and 10342004020021.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14586747206 + ... + 14586747914.

It is an arithmetic number, because the mean of its divisors is an integer number (57970080000).

Almost surely, 2^{10342004020040} is an apocalyptic number.

10342004020040 is a gapful number since it is divisible by the number (10) 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 10342004020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14840340480000).

10342004020040 is an abundant number, since it is smaller than the sum of its proper divisors (19338676939960).

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

10342004020040 is a wasteful number, since it uses less digits than its factorization.

10342004020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10342004020040 its reverse (4002040024301), we get a palindrome (14344044044341).

The spelling of 10342004020040 in words is "ten trillion, three hundred forty-two billion, four million, twenty thousand, forty".