481642041972000 has 3072 divisors, whose sum is σ = 2031793105305600. Its totient is φ = 99081142272000.

The previous prime is 481642041971963. The next prime is 481642041972031. The reversal of 481642041972000 is 279140246184.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 368509595347 + ... + 368509596653.

It is an arithmetic number, because the mean of its divisors is an integer number (661390984800).

Almost surely, 2^{481642041972000} is an apocalyptic number.

481642041972000 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 481642041972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015896552652800).

481642041972000 is an abundant number, since it is smaller than the sum of its proper divisors (1550151063333600).

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

481642041972000 is a wasteful number, since it uses less digits than its factorization.

481642041972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 481642041972000 in words is "four hundred eighty-one trillion, six hundred forty-two billion, forty-one million, nine hundred seventy-two thousand".