40167277056 has 320 divisors, whose sum is σ = 122964272640. Its totient is φ = 12939264000.

The previous prime is 40167277019. The next prime is 40167277057. The reversal of 40167277056 is 65077276104.

It is a super-2 number, since 2×40167277056² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40167277057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53484681 + ... + 53485431.

It is an arithmetic number, because the mean of its divisors is an integer number (384263352).

Almost surely, 2^40167277056 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 40167277056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61482136320).

40167277056 is an abundant number, since it is smaller than the sum of its proper divisors (82796995584).

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

40167277056 is an equidigital number, since it uses as much as digits as its factorization.

40167277056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 40167277056 in words is "forty billion, one hundred sixty-seven million, two hundred seventy-seven thousand, fifty-six".