40643065157760 has 1536 divisors, whose sum is σ = 161146205438400. Its totient is φ = 9365234909184.

The previous prime is 40643065157753. The next prime is 40643065157771. The reversal of 40643065157760 is 6775156034604.

40643065157760 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 3 + 0 + 6 + 5 + 1 + 577 + 60 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 455884236864 + 40187180920896 = 675192^2 + 6339336^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40643065157697 and 40643065157706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28362222004 + ... + 28362223436.

Almost surely, 2^{40643065157760} is an apocalyptic number.

40643065157760 is a gapful number since it is divisible by the number (40) 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 40643065157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80573102719200).

40643065157760 is an abundant number, since it is smaller than the sum of its proper divisors (120503140280640).

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

40643065157760 is a wasteful number, since it uses less digits than its factorization.

40643065157760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 40643065157760 in words is "forty trillion, six hundred forty-three billion, sixty-five million, one hundred fifty-seven thousand, seven hundred sixty".