481078080000 has 1200 divisors, whose sum is σ = 2027448508800. Its totient is φ = 109734912000.

The previous prime is 481078079983. The next prime is 481078080037. The reversal of 481078080000 is 80870184.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×481078080000² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 987839757 + ... + 987840243.

It is an arithmetic number, because the mean of its divisors is an integer number (1689540424).

Almost surely, 2^481078080000 is an apocalyptic number.

481078080000 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 481078080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013724254400).

481078080000 is an abundant number, since it is smaller than the sum of its proper divisors (1546370428800).

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

481078080000 is an frugal number, since it uses more digits than its factorization.

481078080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 481078080000 in words is "four hundred eighty-one billion, seventy-eight million, eighty thousand".