40876266816 has 1344 divisors, whose sum is σ = 169455144960. Its totient is φ = 9361059840.

The previous prime is 40876266751. The next prime is 40876266817. The reversal of 40876266816 is 61866267804.

40876266816 is a `hidden beast` number, since 4 + 0 + 8 + 7 + 626 + 6 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40876266817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1104763950 + ... + 1104763986.

Almost surely, 2^40876266816 is an apocalyptic number.

40876266816 is a gapful number since it is divisible by the number (46) 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 40876266816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84727572480).

40876266816 is an abundant number, since it is smaller than the sum of its proper divisors (128578878144).

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

40876266816 is a wasteful number, since it uses less digits than its factorization.

40876266816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 40876266816 in words is "forty billion, eight hundred seventy-six million, two hundred sixty-six thousand, eight hundred sixteen".