40286880000 has 540 divisors, whose sum is σ = 147116117148. Its totient is φ = 10598400000.

The previous prime is 40286879993. The next prime is 40286880059. The reversal of 40286880000 is 8868204.

It can be written as a sum of positive squares in 10 ways, for example, as 26838302976 + 13448577024 = 163824^2 + 115968^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 145439862 + ... + 145440138.

Almost surely, 2^40286880000 is an apocalyptic number.

40286880000 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 40286880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73558058574).

40286880000 is an abundant number, since it is smaller than the sum of its proper divisors (106829237148).

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

40286880000 is a wasteful number, since it uses less digits than its factorization.

40286880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 40286880000 in words is "forty billion, two hundred eighty-six million, eight hundred eighty thousand".