40871900160 has 1584 divisors, whose sum is σ = 190771491456. Its totient is φ = 8169652224.

The previous prime is 40871900117. The next prime is 40871900161. The reversal of 40871900160 is 6100917804.

40871900160 is a `hidden beast` number, since 408 + 7 + 1 + 90 + 0 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40871900161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2151152631 + ... + 2151152649.

Almost surely, 2^40871900160 is an apocalyptic number.

40871900160 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 40871900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95385745728).

40871900160 is an abundant number, since it is smaller than the sum of its proper divisors (149899591296).

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

40871900160 is a wasteful number, since it uses less digits than its factorization.

40871900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 40871900160 in words is "forty billion, eight hundred seventy-one million, nine hundred thousand, one hundred sixty".