481979888640 has 1056 divisors, whose sum is σ = 1866942604800. Its totient is φ = 114449448960.

The previous prime is 481979888587. The next prime is 481979888683. The reversal of 481979888640 is 46888979184.

It is a happy number.

481979888640 is a `hidden beast` number, since 481 + 9 + 7 + 9 + 8 + 88 + 64 + 0 = 666.

It is a super-2 number, since 2×481979888640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1040993049 + ... + 1040993511.

Almost surely, 2^481979888640 is an apocalyptic number.

481979888640 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 481979888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933471302400).

481979888640 is an abundant number, since it is smaller than the sum of its proper divisors (1384962716160).

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

481979888640 is a wasteful number, since it uses less digits than its factorization.

481979888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 481979888640 in words is "four hundred eighty-one billion, nine hundred seventy-nine million, eight hundred eighty-eight thousand, six hundred forty".