481267640000 has 280 divisors, whose sum is σ = 1423189033728. Its totient is φ = 157829760000.

The previous prime is 481267639967. The next prime is 481267640071. The reversal of 481267640000 is 46762184.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×481267640000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6402635 + ... + 6477365.

Almost surely, 2^481267640000 is an apocalyptic number.

481267640000 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 481267640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711594516864).

481267640000 is an abundant number, since it is smaller than the sum of its proper divisors (941921393728).

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

481267640000 is an equidigital number, since it uses as much as digits as its factorization.

481267640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74793 (or 74768 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 481267640000 in words is "four hundred eighty-one billion, two hundred sixty-seven million, six hundred forty thousand".