481975401600 has 3840 divisors, whose sum is σ = 2468242022400. Its totient is φ = 89579520000.

The previous prime is 481975401571. The next prime is 481975401647. The reversal of 481975401600 is 6104579184.

481975401600 is a `hidden beast` number, since 4 + 8 + 1 + 97 + 540 + 16 + 0 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 11755497580 + ... + 11755497620.

It is an arithmetic number, because the mean of its divisors is an integer number (642771360).

Almost surely, 2^481975401600 is an apocalyptic number.

481975401600 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 481975401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234121011200).

481975401600 is an abundant number, since it is smaller than the sum of its proper divisors (1986266620800).

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

481975401600 is a wasteful number, since it uses less digits than its factorization.

481975401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 481975401600 in words is "four hundred eighty-one billion, nine hundred seventy-five million, four hundred one thousand, six hundred".