10011134414040 has 32 divisors (see below), whose sum is σ = 30033403242480. Its totient is φ = 2669635843712.

The previous prime is 10011134414011. The next prime is 10011134414081. The reversal of 10011134414040 is 4041443111001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10011134414040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41713059939 + ... + 41713060178.

Almost surely, 2^{10011134414040} is an apocalyptic number.

10011134414040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011134414040 is an abundant number, since it is smaller than the sum of its proper divisors (20022268828440).

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

10011134414040 is a wasteful number, since it uses less digits than its factorization.

10011134414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83426120131 (or 83426120127 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10011134414040 its reverse (4041443111001), we get a palindrome (14052577525041).

The spelling of 10011134414040 in words is "ten trillion, eleven billion, one hundred thirty-four million, four hundred fourteen thousand, forty".