40768012800 has 840 divisors, whose sum is σ = 160971762996. Its totient is φ = 10192158720.

The previous prime is 40768012723. The next prime is 40768012807. The reversal of 40768012800 is 821086704.

It can be written as a sum of positive squares in 6 ways, for example, as 33077424384 + 7690588416 = 181872^2 + 87696^2 .

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

It is not an unprimeable number, because it can be changed into a prime (40768012807) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 158630272 + ... + 158630528.

Almost surely, 2^40768012800 is an apocalyptic number.

40768012800 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 40768012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80485881498).

40768012800 is an abundant number, since it is smaller than the sum of its proper divisors (120203750196).

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

40768012800 is an equidigital number, since it uses as much as digits as its factorization.

40768012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 40768012800 in words is "forty billion, seven hundred sixty-eight million, twelve thousand, eight hundred".