40661257680 has 120 divisors (see below), whose sum is σ = 137596773600. Its totient is φ = 10760206080.

The previous prime is 40661257643. The next prime is 40661257691. The reversal of 40661257680 is 8675216604.

40661257680 is a `hidden beast` number, since 4 + 0 + 66 + 12 + 576 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×40661257680² (a number of 22 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 121230 + ... + 309869.

It is an arithmetic number, because the mean of its divisors is an integer number (1146639780).

Almost surely, 2^40661257680 is an apocalyptic number.

40661257680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40661257680 is an abundant number, since it is smaller than the sum of its proper divisors (96935515920).

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

40661257680 is a wasteful number, since it uses less digits than its factorization.

40661257680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431249 (or 431240 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 40661257680 in words is "forty billion, six hundred sixty-one million, two hundred fifty-seven thousand, six hundred eighty".