40762067976 has 144 divisors (see below), whose sum is σ = 127795449600. Its totient is φ = 11497996224.

The previous prime is 40762067971. The next prime is 40762067993. The reversal of 40762067976 is 67976026704.

It is a happy number.

40762067976 is a `hidden beast` number, since 4 + 0 + 7 + 620 + 6 + 7 + 9 + 7 + 6 = 666.

40762067976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40762067971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3138985 + ... + 3151943.

It is an arithmetic number, because the mean of its divisors is an integer number (887468400).

Almost surely, 2^40762067976 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 40762067976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63897724800).

40762067976 is an abundant number, since it is smaller than the sum of its proper divisors (87033381624).

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

40762067976 is a wasteful number, since it uses less digits than its factorization.

40762067976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13136 (or 13050 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 40762067976 in words is "forty billion, seven hundred sixty-two million, sixty-seven thousand, nine hundred seventy-six".