40244757584460 has 192 divisors, whose sum is σ = 132391797318144. Its totient is φ = 9005395046400.

The previous prime is 40244757584431. The next prime is 40244757584461. The reversal of 40244757584460 is 6448575744204.

40244757584460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 40244757584394 and 40244757584403.

It is not an unprimeable number, because it can be changed into a prime (40244757584461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203650500 + ... + 203848020.

It is an arithmetic number, because the mean of its divisors is an integer number (689540611032).

Almost surely, 2^{40244757584460} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40244757584460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66195898659072).

40244757584460 is an abundant number, since it is smaller than the sum of its proper divisors (92147039733684).

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

40244757584460 is a wasteful number, since it uses less digits than its factorization.

40244757584460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221304 (or 221302 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 60.

The spelling of 40244757584460 in words is "forty trillion, two hundred forty-four billion, seven hundred fifty-seven million, five hundred eighty-four thousand, four hundred sixty".