43725951360 has 1920 divisors, whose sum is σ = 208151285760. Its totient is φ = 8539914240.

The previous prime is 43725951341. The next prime is 43725951407. The reversal of 43725951360 is 6315952734.

43725951360 is a `hidden beast` number, since 4 + 3 + 72 + 5 + 9 + 513 + 60 = 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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1410514545 + ... + 1410514575.

It is an arithmetic number, because the mean of its divisors is an integer number (108412128).

Almost surely, 2^43725951360 is an apocalyptic number.

43725951360 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 43725951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104075642880).

43725951360 is an abundant number, since it is smaller than the sum of its proper divisors (164425334400).

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

43725951360 is a wasteful number, since it uses less digits than its factorization.

43725951360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 43725951360 in words is "forty-three billion, seven hundred twenty-five million, nine hundred fifty-one thousand, three hundred sixty".