43121148019680 has 192 divisors, whose sum is σ = 137536537723200. Its totient is φ = 11354977075200.

The previous prime is 43121148019657. The next prime is 43121148019811. The reversal of 43121148019680 is 8691084112134.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32195380 + ... + 33507980.

It is an arithmetic number, because the mean of its divisors is an integer number (716336133975).

Almost surely, 2^{43121148019680} is an apocalyptic number.

43121148019680 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 43121148019680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68768268861600).

43121148019680 is an abundant number, since it is smaller than the sum of its proper divisors (94415389703520).

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

43121148019680 is a wasteful number, since it uses less digits than its factorization.

43121148019680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313477 (or 1313469 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 43121148019680 in words is "forty-three trillion, one hundred twenty-one billion, one hundred forty-eight million, nineteen thousand, six hundred eighty".