40517640000 has 420 divisors, whose sum is σ = 150167134260. Its totient is φ = 10429440000.

The previous prime is 40517639963. The next prime is 40517640017. The reversal of 40517640000 is 4671504.

40517640000 is a `hidden beast` number, since 4 + 0 + 5 + 17 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 28361254464 + 12156385536 = 168408^2 + 110256^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10438060 + ... + 10441940.

Almost surely, 2^40517640000 is an apocalyptic number.

40517640000 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 40517640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75083567130).

40517640000 is an abundant number, since it is smaller than the sum of its proper divisors (109649494260).

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

40517640000 is a wasteful number, since it uses less digits than its factorization.

40517640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3920 counting only the distinct ones).

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

The spelling of 40517640000 in words is "forty billion, five hundred seventeen million, six hundred forty thousand".