40077467136 has 240 divisors, whose sum is σ = 134436931200. Its totient is φ = 11256090624.

The previous prime is 40077467123. The next prime is 40077467189. The reversal of 40077467136 is 63176477004.

40077467136 is a `hidden beast` number, since 400 + 77 + 46 + 7 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40077467091 and 40077467100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1892575 + ... + 1913633.

It is an arithmetic number, because the mean of its divisors is an integer number (560153880).

Almost surely, 2^40077467136 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 40077467136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67218465600).

40077467136 is an abundant number, since it is smaller than the sum of its proper divisors (94359464064).

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

40077467136 is a wasteful number, since it uses less digits than its factorization.

40077467136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21149 (or 21130 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 40077467136 in words is "forty billion, seventy-seven million, four hundred sixty-seven thousand, one hundred thirty-six".