4131496212480 has 1920 divisors, whose sum is σ = 18412055101440. Its totient is φ = 862829936640.

The previous prime is 4131496212479. The next prime is 4131496212491. The reversal of 4131496212480 is 842126941314.

4131496212480 is a `hidden beast` number, since 4 + 1 + 3 + 14 + 9 + 621 + 2 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 9585837865 + ... + 9585838295.

It is an arithmetic number, because the mean of its divisors is an integer number (9589612032).

Almost surely, 2^{4131496212480} is an apocalyptic number.

4131496212480 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 4131496212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9206027550720).

4131496212480 is an abundant number, since it is smaller than the sum of its proper divisors (14280558888960).

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

4131496212480 is a wasteful number, since it uses less digits than its factorization.

4131496212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4131496212480 in words is "four trillion, one hundred thirty-one billion, four hundred ninety-six million, two hundred twelve thousand, four hundred eighty".