40436684160 has 256 divisors, whose sum is σ = 136719576000. Its totient is φ = 10130554880.

The previous prime is 40436684147. The next prime is 40436684161. The reversal of 40436684160 is 6148663404.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40436684161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34238770 + ... + 34239950.

Almost surely, 2^40436684160 is an apocalyptic number.

40436684160 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 40436684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68359788000).

40436684160 is an abundant number, since it is smaller than the sum of its proper divisors (96282891840).

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

40436684160 is a wasteful number, since it uses less digits than its factorization.

40436684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 40436684160 in words is "forty billion, four hundred thirty-six million, six hundred eighty-four thousand, one hundred sixty".