40862059165440 has 864 divisors, whose sum is σ = 147544979662080. Its totient is φ = 10842552815616.

The previous prime is 40862059165429. The next prime is 40862059165453. The reversal of 40862059165440 is 4456195026804.

It is a happy number.

40862059165440 is a `hidden beast` number, since 4 + 0 + 8 + 6 + 2 + 0 + 5 + 91 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69611684827 + ... + 69611685413.

Almost surely, 2^{40862059165440} is an apocalyptic number.

40862059165440 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 40862059165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73772489831040).

40862059165440 is an abundant number, since it is smaller than the sum of its proper divisors (106682920496640).

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

40862059165440 is an frugal number, since it uses more digits than its factorization.

40862059165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 40862059165440 in words is "forty trillion, eight hundred sixty-two billion, fifty-nine million, one hundred sixty-five thousand, four hundred forty".