40761967940100 has 405 divisors, whose sum is σ = 145260938977231. Its totient is φ = 9880156915200.

The previous prime is 40761967940081. The next prime is 40761967940143. The reversal of 40761967940100 is 104976916704.

The square root of 40761967940100 is 6384510.

It is a perfect power (a square), and thus also a powerful number.

40761967940100 is a `hidden beast` number, since 4 + 0 + 7 + 619 + 6 + 7 + 9 + 4 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8325844786116 + 32436123153984 = 2885454^2 + 5695272^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6320661676 + ... + 6320668124.

Almost surely, 2^{40761967940100} is an apocalyptic number.

40761967940100 is the 6384510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40761967940100

40761967940100 is an abundant number, since it is smaller than the sum of its proper divisors (104498971037131).

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

40761967940100 is an equidigital number, since it uses as much as digits as its factorization.

40761967940100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12946 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 40761967940100 in words is "forty trillion, seven hundred sixty-one billion, nine hundred sixty-seven million, nine hundred forty thousand, one hundred".