10611642940 has 48 divisors (see below), whose sum is σ = 23375278080. Its totient is φ = 4038816320.

The previous prime is 10611642929. The next prime is 10611642949. The reversal of 10611642940 is 4924611601.

It is a happy number.

It is a super-2 number, since 2×10611642940² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10611642896 and 10611642905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10611642949) 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, 27471 + ... + 148249.

It is an arithmetic number, because the mean of its divisors is an integer number (486984960).

Almost surely, 2^10611642940 is an apocalyptic number.

10611642940 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 10611642940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11687639040).

10611642940 is an abundant number, since it is smaller than the sum of its proper divisors (12763635140).

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

10611642940 is a wasteful number, since it uses less digits than its factorization.

10611642940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121002 (or 121000 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 10611642940 in words is "ten billion, six hundred eleven million, six hundred forty-two thousand, nine hundred forty".