40213313280 has 648 divisors, whose sum is σ = 163697762592. Its totient is φ = 8925216768.

The previous prime is 40213313269. The next prime is 40213313303. The reversal of 40213313280 is 8231331204.

40213313280 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 331 + 328 + 0 = 666.

It is a super-2 number, since 2×40213313280² (a number of 22 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 414570192 + ... + 414570288.

It is an arithmetic number, because the mean of its divisors is an integer number (252620004).

Almost surely, 2^40213313280 is an apocalyptic number.

40213313280 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 40213313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81848881296).

40213313280 is an abundant number, since it is smaller than the sum of its proper divisors (123484449312).

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

40213313280 is an equidigital number, since it uses as much as digits as its factorization.

40213313280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 167 counting only the distinct ones).

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

Adding to 40213313280 its reverse (8231331204), we get a palindrome (48444644484).

The spelling of 40213313280 in words is "forty billion, two hundred thirteen million, three hundred thirteen thousand, two hundred eighty".