40165481664 has 672 divisors, whose sum is σ = 157687036416. Its totient is φ = 9813934080.

The previous prime is 40165481611. The next prime is 40165481677. The reversal of 40165481664 is 46618456104.

40165481664 is a `hidden beast` number, since 4 + 0 + 165 + 481 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×40165481664² (a number of 22 digits) contains 22 as substring.

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, 20356582 + ... + 20358554.

It is an arithmetic number, because the mean of its divisors is an integer number (234653328).

Almost surely, 2^40165481664 is an apocalyptic number.

40165481664 is a gapful number since it is divisible by the number (44) 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 40165481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78843518208).

40165481664 is an abundant number, since it is smaller than the sum of its proper divisors (117521554752).

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

40165481664 is a wasteful number, since it uses less digits than its factorization.

40165481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40165481664 in words is "forty billion, one hundred sixty-five million, four hundred eighty-one thousand, six hundred sixty-four".