10001045877340 has 192 divisors, whose sum is σ = 24992118079488. Its totient is φ = 3289600051200.

The previous prime is 10001045877313. The next prime is 10001045877359. The reversal of 10001045877340 is 4377854010001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10001045877293 and 10001045877302.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 242858832 + ... + 242900008.

It is an arithmetic number, because the mean of its divisors is an integer number (130167281664).

Almost surely, 2^{10001045877340} is an apocalyptic number.

10001045877340 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 10001045877340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12496059039744).

10001045877340 is an abundant number, since it is smaller than the sum of its proper divisors (14991072202148).

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

10001045877340 is a wasteful number, since it uses less digits than its factorization.

10001045877340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41708 (or 41706 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

Adding to 10001045877340 its reverse (4377854010001), we get a palindrome (14378899887341).

The spelling of 10001045877340 in words is "ten trillion, one billion, forty-five million, eight hundred seventy-seven thousand, three hundred forty".