43425688861440 has 288 divisors, whose sum is σ = 154208595119040. Its totient is φ = 11572089421824.

The previous prime is 43425688861397. The next prime is 43425688861519. The reversal of 43425688861440 is 4416888652434.

It is a happy number.

43425688861440 is a `hidden beast` number, since 4 + 3 + 4 + 2 + 5 + 6 + 8 + 8 + 8 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 49086054 + ... + 49962906.

It is an arithmetic number, because the mean of its divisors is an integer number (535446510830).

Almost surely, 2^{43425688861440} is an apocalyptic number.

43425688861440 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 43425688861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77104297559520).

43425688861440 is an abundant number, since it is smaller than the sum of its proper divisors (110782906257600).

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

43425688861440 is a wasteful number, since it uses less digits than its factorization.

43425688861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878316 (or 878296 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 43425688861440 in words is "forty-three trillion, four hundred twenty-five billion, six hundred eighty-eight million, eight hundred sixty-one thousand, four hundred forty".