10003134040040 has 64 divisors (see below), whose sum is σ = 22543822748160. Its totient is φ = 3994720948480.

The previous prime is 10003134040027. The next prime is 10003134040049. The reversal of 10003134040040 is 4004043130001.

It is a happy number.

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 = 10003134039994 and 10003134040021.

It is not an unprimeable number, because it can be changed into a prime (10003134040049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73839647 + ... + 73974993.

It is an arithmetic number, because the mean of its divisors is an integer number (352247230440).

Almost surely, 2^{10003134040040} is an apocalyptic number.

10003134040040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003134040040 is an abundant number, since it is smaller than the sum of its proper divisors (12540688708120).

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

10003134040040 is a wasteful number, since it uses less digits than its factorization.

10003134040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138362 (or 138358 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10003134040040 its reverse (4004043130001), we get a palindrome (14007177170041).

The spelling of 10003134040040 in words is "ten trillion, three billion, one hundred thirty-four million, forty thousand, forty".