40288944780 has 360 divisors, whose sum is σ = 149293466784. Its totient is φ = 8909429760.

The previous prime is 40288944779. The next prime is 40288944781. The reversal of 40288944780 is 8744988204.

40288944780 is a `hidden beast` number, since 4 + 0 + 2 + 88 + 94 + 478 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40288944779) and next prime (40288944781).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40288944781) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 10895892 + ... + 10899588.

Almost surely, 2^40288944780 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 40288944780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74646733392).

40288944780 is an abundant number, since it is smaller than the sum of its proper divisors (109004522004).

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

40288944780 is a wasteful number, since it uses less digits than its factorization.

40288944780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 40288944780 in words is "forty billion, two hundred eighty-eight million, nine hundred forty-four thousand, seven hundred eighty".