40254512485824 has 1008 divisors, whose sum is σ = 146774989871328. Its totient is φ = 10453285011456.

The previous prime is 40254512485787. The next prime is 40254512485829. The reversal of 40254512485824 is 42858421545204.

It is a happy number.

40254512485824 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 4 + 5 + 12 + 48 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40254512485829) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24293609604 + ... + 24293611260.

Almost surely, 2^{40254512485824} 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 40254512485824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73387494935664).

40254512485824 is an abundant number, since it is smaller than the sum of its proper divisors (106520477385504).

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

40254512485824 is a wasteful number, since it uses less digits than its factorization.

40254512485824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 16384000, while the sum is 54.

The spelling of 40254512485824 in words is "forty trillion, two hundred fifty-four billion, five hundred twelve million, four hundred eighty-five thousand, eight hundred twenty-four".