10540174007640 has 128 divisors (see below), whose sum is σ = 31765129076160. Its totient is φ = 2797886767104.

The previous prime is 10540174007617. The next prime is 10540174007651. The reversal of 10540174007640 is 4670047104501.

10540174007640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10540174007640² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24226102 + ... + 24657338.

Almost surely, 2^{10540174007640} is an apocalyptic number.

10540174007640 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 10540174007640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15882564538080).

10540174007640 is an abundant number, since it is smaller than the sum of its proper divisors (21224955068520).

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

10540174007640 is a wasteful number, since it uses less digits than its factorization.

10540174007640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432181 (or 432177 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 10540174007640 in words is "ten trillion, five hundred forty billion, one hundred seventy-four million, seven thousand, six hundred forty".