10495509047040 has 288 divisors, whose sum is σ = 35771289845760. Its totient is φ = 2613423439872.

The previous prime is 10495509047029. The next prime is 10495509047041. The reversal of 10495509047040 is 4074090559401.

It is a happy number.

It is a super-2 number, since 2×10495509047040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10495509047041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7657581 + ... + 8923539.

It is an arithmetic number, because the mean of its divisors is an integer number (124205867520).

Almost surely, 2^{10495509047040} is an apocalyptic number.

10495509047040 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 10495509047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17885644922880).

10495509047040 is an abundant number, since it is smaller than the sum of its proper divisors (25275780798720).

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

10495509047040 is a wasteful number, since it uses less digits than its factorization.

10495509047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266127 (or 1266113 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 10495509047040 in words is "ten trillion, four hundred ninety-five billion, five hundred nine million, forty-seven thousand, forty".