481237770240 has 560 divisors, whose sum is σ = 1781254126080. Its totient is φ = 124163850240.

The previous prime is 481237770239. The next prime is 481237770269. The reversal of 481237770240 is 42077732184.

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 39 ways as a sum of consecutive naturals, for example, 102848221 + ... + 102852899.

Almost surely, 2^481237770240 is an apocalyptic number.

481237770240 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 481237770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890627063040).

481237770240 is an abundant number, since it is smaller than the sum of its proper divisors (1300016355840).

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

481237770240 is an equidigital number, since it uses as much as digits as its factorization.

481237770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 481237770240 in words is "four hundred eighty-one billion, two hundred thirty-seven million, seven hundred seventy thousand, two hundred forty".