40761564202080 has 576 divisors, whose sum is σ = 152361829751040. Its totient is φ = 10262458238976.

The previous prime is 40761564202069. The next prime is 40761564202097. The reversal of 40761564202080 is 8020246516704.

40761564202080 is a `hidden beast` number, since 4 + 0 + 7 + 6 + 1 + 564 + 2 + 0 + 2 + 0 + 80 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216350799 + ... + 216539121.

It is an arithmetic number, because the mean of its divisors is an integer number (264517065540).

Almost surely, 2^{40761564202080} is an apocalyptic number.

40761564202080 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 40761564202080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76180914875520).

40761564202080 is an abundant number, since it is smaller than the sum of its proper divisors (111600265548960).

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

40761564202080 is a wasteful number, since it uses less digits than its factorization.

40761564202080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188665 (or 188645 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 40761564202080 in words is "forty trillion, seven hundred sixty-one billion, five hundred sixty-four million, two hundred two thousand, eighty".