10342014100040 has 64 divisors (see below), whose sum is σ = 26629737206400. Its totient is φ = 3541035184128.

The previous prime is 10342014099983. The next prime is 10342014100141. The reversal of 10342014100040 is 4000141024301.

It is a super-2 number, since 2×10342014100040² (a number of 27 digits) contains 22 as substring.

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 = 10342014099985 and 10342014100021.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24783449 + ... + 25197288.

It is an arithmetic number, because the mean of its divisors is an integer number (416089643850).

Almost surely, 2^{10342014100040} is an apocalyptic number.

10342014100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10342014100040 is an abundant number, since it is smaller than the sum of its proper divisors (16287723106360).

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

10342014100040 is a wasteful number, since it uses less digits than its factorization.

10342014100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49981494 (or 49981490 counting only the distinct ones).

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

Adding to 10342014100040 its reverse (4000141024301), we get a palindrome (14342155124341).

The spelling of 10342014100040 in words is "ten trillion, three hundred forty-two billion, fourteen million, one hundred thousand, forty".