40777433667072 has 240 divisors, whose sum is σ = 118259119437888. Its totient is φ = 13526494248960.

The previous prime is 40777433667037. The next prime is 40777433667097. The reversal of 40777433667072 is 27076633477704.

40777433667072 is a `hidden beast` number, since 4 + 0 + 7 + 7 + 7 + 433 + 66 + 70 + 72 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 795771372 + ... + 795822612.

Almost surely, 2^{40777433667072} 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 40777433667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59129559718944).

40777433667072 is an abundant number, since it is smaller than the sum of its proper divisors (77481685770816).

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

40777433667072 is a wasteful number, since it uses less digits than its factorization.

40777433667072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52101 (or 52082 counting only the distinct ones).

The product of its (nonzero) digits is 174254976, while the sum is 63.

The spelling of 40777433667072 in words is "forty trillion, seven hundred seventy-seven billion, four hundred thirty-three million, six hundred sixty-seven thousand, seventy-two".