40071077136 has 280 divisors, whose sum is σ = 119061067104. Its totient is φ = 13056215040.

The previous prime is 40071077117. The next prime is 40071077153. The reversal of 40071077136 is 63177017004.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 40071077136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 121060491 + ... + 121060821.

Almost surely, 2^40071077136 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 40071077136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59530533552).

40071077136 is an abundant number, since it is smaller than the sum of its proper divisors (78989989968).

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

40071077136 is a wasteful number, since it uses less digits than its factorization.

40071077136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 40071077136 in words is "forty billion, seventy-one million, seventy-seven thousand, one hundred thirty-six".