40162977792 has 648 divisors, whose sum is σ = 142416294930. Its totient is φ = 11287019520.

The previous prime is 40162977787. The next prime is 40162977797. The reversal of 40162977792 is 29777926104.

40162977792 is a `hidden beast` number, since 4 + 0 + 1 + 629 + 7 + 7 + 7 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (40162977787) and next prime (40162977797).

It can be written as a sum of positive squares in only one way, i.e., 39833773056 + 329204736 = 199584^2 + 18144^2 .

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×40162977792² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40162977797) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 658409442 + ... + 658409502.

Almost surely, 2^40162977792 is an apocalyptic number.

40162977792 is a gapful number since it is divisible by the number (42) 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 40162977792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71208147465).

40162977792 is an abundant number, since it is smaller than the sum of its proper divisors (102253317138).

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

40162977792 is an frugal number, since it uses more digits than its factorization.

40162977792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 40162977792 in words is "forty billion, one hundred sixty-two million, nine hundred seventy-seven thousand, seven hundred ninety-two".