481531392000 has 1040 divisors, whose sum is σ = 1903599146592. Its totient is φ = 120677990400.

The previous prime is 481531391969. The next prime is 481531392151. The reversal of 481531392000 is 293135184.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 705023659 + ... + 705024341.

Almost surely, 2^481531392000 is an apocalyptic number.

481531392000 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 481531392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951799573296).

481531392000 is an abundant number, since it is smaller than the sum of its proper divisors (1422067754592).

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

481531392000 is an equidigital number, since it uses as much as digits as its factorization.

481531392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 481531392000 in words is "four hundred eighty-one billion, five hundred thirty-one million, three hundred ninety-two thousand".