40132666266560 has 224 divisors, whose sum is σ = 111458887267200. Its totient is φ = 13758319411200.

The previous prime is 40132666266559. The next prime is 40132666266593. The reversal of 40132666266560 is 6566266623104.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×40132666266560² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 1837481240 + ... + 1837503080.

Almost surely, 2^{40132666266560} is an apocalyptic number.

40132666266560 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 40132666266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55729443633600).

40132666266560 is an abundant number, since it is smaller than the sum of its proper divisors (71326221000640).

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

40132666266560 is a wasteful number, since it uses less digits than its factorization.

40132666266560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38620 (or 38596 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 53.

The spelling of 40132666266560 in words is "forty trillion, one hundred thirty-two billion, six hundred sixty-six million, two hundred sixty-six thousand, five hundred sixty".