40927940444160 has 5760 divisors, whose sum is σ = 210474069442560. Its totient is φ = 7338354278400.

The previous prime is 40927940444119. The next prime is 40927940444161. The reversal of 40927940444160 is 6144404972904.

40927940444160 is a `hidden beast` number, since 4 + 0 + 9 + 2 + 79 + 404 + 4 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-3 number, since 3×40927940444160³ (a number of 42 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40927940444097 and 40927940444106.

It is not an unprimeable number, because it can be changed into a prime (40927940444161) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1320256143345 + ... + 1320256143375.

It is an arithmetic number, because the mean of its divisors is an integer number (36540637056).

Almost surely, 2^{40927940444160} is an apocalyptic number.

40927940444160 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 40927940444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105237034721280).

40927940444160 is an abundant number, since it is smaller than the sum of its proper divisors (169546128998400).

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

40927940444160 is a wasteful number, since it uses less digits than its factorization.

40927940444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 40927940444160 in words is "forty trillion, nine hundred twenty-seven billion, nine hundred forty million, four hundred forty-four thousand, one hundred sixty".