40605801979680 has 1296 divisors, whose sum is σ = 177574343034816. Its totient is φ = 8735247360000.

The previous prime is 40605801979661. The next prime is 40605801979753. The reversal of 40605801979680 is 8697910850604.

40605801979680 is a `hidden beast` number, since 4 + 0 + 605 + 8 + 0 + 19 + 7 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 550542805 + ... + 550616555.

It is an arithmetic number, because the mean of its divisors is an integer number (137017239996).

Almost surely, 2^{40605801979680} is an apocalyptic number.

40605801979680 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 40605801979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88787171517408).

40605801979680 is an abundant number, since it is smaller than the sum of its proper divisors (136968541055136).

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

40605801979680 is a wasteful number, since it uses less digits than its factorization.

40605801979680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73829 (or 73785 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 40605801979680 in words is "forty trillion, six hundred five billion, eight hundred one million, nine hundred seventy-nine thousand, six hundred eighty".