40766369280 has 720 divisors, whose sum is σ = 164417427504. Its totient is φ = 8587837440.

The previous prime is 40766369263. The next prime is 40766369309. The reversal of 40766369280 is 8296366704.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 63597760 + ... + 63598400.

Almost surely, 2^40766369280 is an apocalyptic number.

40766369280 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 40766369280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82208713752).

40766369280 is an abundant number, since it is smaller than the sum of its proper divisors (123651058224).

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

40766369280 is a wasteful number, since it uses less digits than its factorization.

40766369280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 40766369280 in words is "forty billion, seven hundred sixty-six million, three hundred sixty-nine thousand, two hundred eighty".