481261211596800 has 1152 divisors, whose sum is σ = 1825995728793600. Its totient is φ = 124113862656000.

The previous prime is 481261211596747. The next prime is 481261211596811. The reversal of 481261211596800 is 8695112162184.

481261211596800 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 612 + 1 + 15 + 9 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×481261211596800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89437130110 + ... + 89437135490.

It is an arithmetic number, because the mean of its divisors is an integer number (1585065736800).

Almost surely, 2^{481261211596800} is an apocalyptic number.

481261211596800 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 481261211596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912997864396800).

481261211596800 is an abundant number, since it is smaller than the sum of its proper divisors (1344734517196800).

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

481261211596800 is a wasteful number, since it uses less digits than its factorization.

481261211596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7540 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 481261211596800 in words is "four hundred eighty-one trillion, two hundred sixty-one billion, two hundred eleven million, five hundred ninety-six thousand, eight hundred".