40047368762880 has 480 divisors, whose sum is σ = 139052982182400. Its totient is φ = 10651803402240.

The previous prime is 40047368762873. The next prime is 40047368762917. The reversal of 40047368762880 is 8826786374004.

40047368762880 is a `hidden beast` number, since 4 + 0 + 0 + 473 + 6 + 87 + 6 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23571140271 + ... + 23571141969.

It is an arithmetic number, because the mean of its divisors is an integer number (289693712880).

Almost surely, 2^{40047368762880} is an apocalyptic number.

40047368762880 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 40047368762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69526491091200).

40047368762880 is an abundant number, since it is smaller than the sum of its proper divisors (99005613419520).

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

40047368762880 is a wasteful number, since it uses less digits than its factorization.

40047368762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 40047368762880 in words is "forty trillion, forty-seven billion, three hundred sixty-eight million, seven hundred sixty-two thousand, eight hundred eighty".