43152445440 has 1248 divisors, whose sum is σ = 180322571520. Its totient is φ = 9809952768.

The previous prime is 43152445409. The next prime is 43152445471. The reversal of 43152445440 is 4454425134.

43152445440 is a `hidden beast` number, since 43 + 1 + 524 + 4 + 54 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (43152445409) and next prime (43152445471).

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 43152445395 and 43152445404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1488015346 + ... + 1488015374.

It is an arithmetic number, because the mean of its divisors is an integer number (144489240).

Almost surely, 2^43152445440 is an apocalyptic number.

43152445440 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 43152445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90161285760).

43152445440 is an abundant number, since it is smaller than the sum of its proper divisors (137170126080).

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

43152445440 is a wasteful number, since it uses less digits than its factorization.

43152445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 43152445440 in words is "forty-three billion, one hundred fifty-two million, four hundred forty-five thousand, four hundred forty".