43275578641920 has 640 divisors, whose sum is σ = 159139385856000. Its totient is φ = 11133790617600.

The previous prime is 43275578641861. The next prime is 43275578641921. The reversal of 43275578641920 is 2914687557234.

It is a happy number.

43275578641920 is a `hidden beast` number, since 4 + 3 + 2 + 7 + 557 + 8 + 64 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43275578641921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2908493041 + ... + 2908507919.

It is an arithmetic number, because the mean of its divisors is an integer number (248655290400).

It is a 1-persistent number, because it is pandigital, but 2⋅43275578641920 = 86551157283840 is not.

Almost surely, 2^{43275578641920} is an apocalyptic number.

43275578641920 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 43275578641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79569692928000).

43275578641920 is an abundant number, since it is smaller than the sum of its proper divisors (115863807214080).

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

43275578641920 is a wasteful number, since it uses less digits than its factorization.

43275578641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16391 (or 16369 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 43275578641920 in words is "forty-three trillion, two hundred seventy-five billion, five hundred seventy-eight million, six hundred forty-one thousand, nine hundred twenty".