40053242880 has 1056 divisors, whose sum is σ = 169921961280. Its totient is φ = 9029615616.

The previous prime is 40053242863. The next prime is 40053242897. The reversal of 40053242880 is 8824235004.

40053242880 is a `hidden beast` number, since 4 + 0 + 0 + 532 + 42 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (40053242863) and next prime (40053242897).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 548674524 + ... + 548674596.

Almost surely, 2^40053242880 is an apocalyptic number.

40053242880 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 40053242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84960980640).

40053242880 is an abundant number, since it is smaller than the sum of its proper divisors (129868718400).

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

40053242880 is an frugal number, since it uses more digits than its factorization.

40053242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 40053242880 its reverse (8824235004), we get a palindrome (48877477884).

The spelling of 40053242880 in words is "forty billion, fifty-three million, two hundred forty-two thousand, eight hundred eighty".