40288978730000 has 800 divisors, whose sum is σ = 133440538758912. Its totient is φ = 11372774400000.

The previous prime is 40288978729997. The next prime is 40288978730029. The reversal of 40288978730000 is 3787988204.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 159 ways as a sum of consecutive naturals, for example, 530492030 + ... + 530567970.

Almost surely, 2^{40288978730000} is an apocalyptic number.

40288978730000 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 40288978730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66720269379456).

40288978730000 is an abundant number, since it is smaller than the sum of its proper divisors (93151560028912).

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

40288978730000 is a wasteful number, since it uses less digits than its factorization.

40288978730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76053 (or 76032 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 56.

The spelling of 40288978730000 in words is "forty trillion, two hundred eighty-eight billion, nine hundred seventy-eight million, seven hundred thirty thousand".