40679202240 has 224 divisors, whose sum is σ = 143682232320. Its totient is φ = 10834560000.

The previous prime is 40679202211. The next prime is 40679202247. The reversal of 40679202240 is 4220297604.

40679202240 is a `hidden beast` number, since 406 + 7 + 9 + 2 + 0 + 2 + 240 = 666.

40679202240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 40679202195 and 40679202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40679202247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8559865 + ... + 8564615.

Almost surely, 2^40679202240 is an apocalyptic number.

40679202240 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 40679202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71841116160).

40679202240 is an abundant number, since it is smaller than the sum of its proper divisors (103003030080).

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

40679202240 is a wasteful number, since it uses less digits than its factorization.

40679202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5768 (or 5752 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 40679202240 its reverse (4220297604), we get a palindrome (44899499844).

The spelling of 40679202240 in words is "forty billion, six hundred seventy-nine million, two hundred two thousand, two hundred forty".