40036680000 has 490 divisors, whose sum is σ = 148957251234. Its totient is φ = 10668672000.

The previous prime is 40036679981. The next prime is 40036680001. The reversal of 40036680000 is 8663004.

It can be written as a sum of positive squares in 5 ways, for example, as 4397281344 + 35639398656 = 66312^2 + 188784^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40036680001) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 29159314 + ... + 29160686.

Almost surely, 2^40036680000 is an apocalyptic number.

40036680000 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 40036680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74478625617).

40036680000 is an abundant number, since it is smaller than the sum of its proper divisors (108920571234).

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

40036680000 is an frugal number, since it uses more digits than its factorization.

40036680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 40036680000 in words is "forty billion, thirty-six million, six hundred eighty thousand".