482355095040000 has 6240 divisors, whose sum is σ = 2346609242672640. Its totient is φ = 95509020672000.

The previous prime is 482355095039989. The next prime is 482355095040001. The reversal of 482355095040000 is 40590553284.

482355095040000 is a `hidden beast` number, since 4 + 8 + 2 + 3 + 550 + 9 + 50 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6240).

It is a super-2 number, since 2×482355095040000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482355095040001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1390072319827 + ... + 1390072320173.

Almost surely, 2^{482355095040000} is an apocalyptic number.

482355095040000 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 482355095040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173304621336320).

482355095040000 is an abundant number, since it is smaller than the sum of its proper divisors (1864254147632640).

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

482355095040000 is a wasteful number, since it uses less digits than its factorization.

482355095040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 482355095040000 in words is "four hundred eighty-two trillion, three hundred fifty-five billion, ninety-five million, forty thousand".