10605074040 has 576 divisors, whose sum is σ = 40154849280. Its totient is φ = 2514758400.

The previous prime is 10605074027. The next prime is 10605074057. The reversal of 10605074040 is 4047050601.

10605074040 is a `hidden beast` number, since 10 + 605 + 0 + 7 + 4 + 0 + 40 = 666.

It is a super-2 number, since 2×10605074040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10605073995 and 10605074013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83504457 + ... + 83504583.

It is an arithmetic number, because the mean of its divisors is an integer number (69713280).

Almost surely, 2^10605074040 is an apocalyptic number.

10605074040 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 10605074040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20077424640).

10605074040 is an abundant number, since it is smaller than the sum of its proper divisors (29549775240).

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

10605074040 is a wasteful number, since it uses less digits than its factorization.

10605074040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10605074040 in words is "ten billion, six hundred five million, seventy-four thousand, forty".