40267805760 has 1008 divisors, whose sum is σ = 175420836864. Its totient is φ = 8298381312.

The previous prime is 40267805689. The next prime is 40267805761. The reversal of 40267805760 is 6750876204.

40267805760 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 78 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40267805761) 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 143 ways as a sum of consecutive naturals, for example, 180573009 + ... + 180573231.

It is an arithmetic number, because the mean of its divisors is an integer number (174028608).

Almost surely, 2^40267805760 is an apocalyptic number.

40267805760 is a gapful number since it is divisible by the number (40) 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 40267805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87710418432).

40267805760 is an abundant number, since it is smaller than the sum of its proper divisors (135153031104).

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

40267805760 is a wasteful number, since it uses less digits than its factorization.

40267805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 40267805760 in words is "forty billion, two hundred sixty-seven million, eight hundred five thousand, seven hundred sixty".