40761332880 has 160 divisors (see below), whose sum is σ = 129279939840. Its totient is φ = 10621255680.

The previous prime is 40761332867. The next prime is 40761332929. The reversal of 40761332880 is 8823316704.

It is a super-3 number, since 3×40761332880³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1914936 + ... + 1936104.

It is an arithmetic number, because the mean of its divisors is an integer number (807999624).

Almost surely, 2^40761332880 is an apocalyptic number.

40761332880 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 40761332880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64639969920).

40761332880 is an abundant number, since it is smaller than the sum of its proper divisors (88518606960).

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

40761332880 is a wasteful number, since it uses less digits than its factorization.

40761332880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21369 (or 21363 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 40761332880 in words is "forty billion, seven hundred sixty-one million, three hundred thirty-two thousand, eight hundred eighty".