463725181440 has 400 divisors, whose sum is σ = 1667933343648. Its totient is φ = 123646611456.

The previous prime is 463725181391. The next prime is 463725181441. The reversal of 463725181440 is 44181527364.

463725181440 is a `hidden beast` number, since 4 + 6 + 3 + 7 + 25 + 181 + 440 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (463725181441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50383879 + ... + 50393081.

Almost surely, 2^463725181440 is an apocalyptic number.

463725181440 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 463725181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833966671824).

463725181440 is an abundant number, since it is smaller than the sum of its proper divisors (1204208162208).

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

463725181440 is an frugal number, since it uses more digits than its factorization.

463725181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9253 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 463725181440 in words is "four hundred sixty-three billion, seven hundred twenty-five million, one hundred eighty-one thousand, four hundred forty".