40687395840 has 1056 divisors, whose sum is σ = 179684284416. Its totient is φ = 8281128960.

The previous prime is 40687395817. The next prime is 40687395841. The reversal of 40687395840 is 4859378604.

40687395840 is a `hidden beast` number, since 406 + 8 + 73 + 95 + 84 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (40687395841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129991524 + ... + 129991836.

Almost surely, 2^40687395840 is an apocalyptic number.

40687395840 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 40687395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89842142208).

40687395840 is an abundant number, since it is smaller than the sum of its proper divisors (138996888576).

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

40687395840 is a wasteful number, since it uses less digits than its factorization.

40687395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 40687395840 in words is "forty billion, six hundred eighty-seven million, three hundred ninety-five thousand, eight hundred forty".