40067423136 has 432 divisors, whose sum is σ = 133498441440. Its totient is φ = 11354204160.

The previous prime is 40067423119. The next prime is 40067423141. The reversal of 40067423136 is 63132476004.

It is a happy number.

40067423136 is a `hidden beast` number, since 40 + 0 + 67 + 423 + 136 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40067423136.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34215831 + ... + 34217001.

It is an arithmetic number, because the mean of its divisors is an integer number (309024170).

Almost surely, 2^40067423136 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 40067423136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66749220720).

40067423136 is an abundant number, since it is smaller than the sum of its proper divisors (93431018304).

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

40067423136 is a wasteful number, since it uses less digits than its factorization.

40067423136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

It can be divided in two parts, 40067 and 423136, that added together give a triangular number (463203 = T₉₆₂).

The spelling of 40067423136 in words is "forty billion, sixty-seven million, four hundred twenty-three thousand, one hundred thirty-six".