43825353480 has 256 divisors, whose sum is σ = 151173734400. Its totient is φ = 11281524480.

The previous prime is 43825353457. The next prime is 43825353521. The reversal of 43825353480 is 8435352834.

43825353480 is a `hidden beast` number, since 4 + 3 + 8 + 2 + 535 + 34 + 80 = 666.

It is a super-2 number, since 2×43825353480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15633759 + ... + 15636561.

It is an arithmetic number, because the mean of its divisors is an integer number (590522400).

Almost surely, 2^43825353480 is an apocalyptic number.

43825353480 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 43825353480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75586867200).

43825353480 is an abundant number, since it is smaller than the sum of its proper divisors (107348380920).

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

43825353480 is a wasteful number, since it uses less digits than its factorization.

43825353480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 43825353480 in words is "forty-three billion, eight hundred twenty-five million, three hundred fifty-three thousand, four hundred eighty".