40087468288 has 144 divisors (see below), whose sum is σ = 97351632000. Its totient is φ = 16092020736.

The previous prime is 40087468243. The next prime is 40087468387. The reversal of 40087468288 is 88286478004.

It is a super-2 number, since 2×40087468288² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3023658 + ... + 3036886.

It is an arithmetic number, because the mean of its divisors is an integer number (676053000).

Almost surely, 2^40087468288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40087468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48675816000).

40087468288 is an abundant number, since it is smaller than the sum of its proper divisors (57264163712).

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

40087468288 is a wasteful number, since it uses less digits than its factorization.

40087468288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13360 (or 13346 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 55.

The spelling of 40087468288 in words is "forty billion, eighty-seven million, four hundred sixty-eight thousand, two hundred eighty-eight".