40012245504 has 480 divisors, whose sum is σ = 150262953984. Its totient is φ = 9938903040.

The previous prime is 40012245499. The next prime is 40012245541. The reversal of 40012245504 is 40554221004.

40012245504 is a `hidden beast` number, since 400 + 12 + 245 + 5 + 0 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8158317 + ... + 8163219.

Almost surely, 2^40012245504 is an apocalyptic number.

40012245504 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 40012245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75131476992).

40012245504 is an abundant number, since it is smaller than the sum of its proper divisors (110250708480).

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

40012245504 is a wasteful number, since it uses less digits than its factorization.

40012245504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 40012245504 its reverse (40554221004), we get a palindrome (80566466508).

The spelling of 40012245504 in words is "forty billion, twelve million, two hundred forty-five thousand, five hundred four".