71631938442240 has 1408 divisors, whose sum is σ = 285132434964480. Its totient is φ = 17118646272000.

The previous prime is 71631938442161. The next prime is 71631938442247. The reversal of 71631938442240 is 4224483913617.

71631938442240 is a `hidden beast` number, since 7 + 1 + 6 + 3 + 19 + 384 + 4 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×71631938442240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71631938442247) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 8745196545 + ... + 8745204735.

Almost surely, 2^{71631938442240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71631938442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142566217482240).

71631938442240 is an abundant number, since it is smaller than the sum of its proper divisors (213500496522240).

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

71631938442240 is an equidigital number, since it uses as much as digits as its factorization.

71631938442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8319 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 71631938442240 in words is "seventy-one trillion, six hundred thirty-one billion, nine hundred thirty-eight million, four hundred forty-two thousand, two hundred forty".