40213242720 has 384 divisors, whose sum is σ = 161583206400. Its totient is φ = 9149884416.

The previous prime is 40213242697. The next prime is 40213242781. The reversal of 40213242720 is 2724231204.

40213242720 is a `hidden beast` number, since 4 + 0 + 213 + 2 + 427 + 20 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 6922057 + ... + 6927863.

It is an arithmetic number, because the mean of its divisors is an integer number (420789600).

Almost surely, 2^40213242720 is an apocalyptic number.

40213242720 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 40213242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80791603200).

40213242720 is an abundant number, since it is smaller than the sum of its proper divisors (121369963680).

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

40213242720 is a wasteful number, since it uses less digits than its factorization.

40213242720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6067 (or 6053 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 40213242720 its reverse (2724231204), we get a palindrome (42937473924).

The spelling of 40213242720 in words is "forty billion, two hundred thirteen million, two hundred forty-two thousand, seven hundred twenty".