40059085546760 has 256 divisors, whose sum is σ = 107069871513600. Its totient is φ = 13203855332352.

The previous prime is 40059085546687. The next prime is 40059085546801. The reversal of 40059085546760 is 6764558095004.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a self number, because there is not a number n which added to its sum of digits gives 40059085546760.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 996152414 + ... + 996192626.

It is an arithmetic number, because the mean of its divisors is an integer number (418241685600).

Almost surely, 2^{40059085546760} is an apocalyptic number.

40059085546760 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 40059085546760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53534935756800).

40059085546760 is an abundant number, since it is smaller than the sum of its proper divisors (67010785966840).

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

40059085546760 is a wasteful number, since it uses less digits than its factorization.

40059085546760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41620 (or 41616 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 59.

The spelling of 40059085546760 in words is "forty trillion, fifty-nine billion, eighty-five million, five hundred forty-six thousand, seven hundred sixty".