481223571840 has 384 divisors, whose sum is σ = 1828860677280. Its totient is φ = 115626147840.

The previous prime is 481223571821. The next prime is 481223571869. The reversal of 481223571840 is 48175322184.

481223571840 is a `hidden beast` number, since 4 + 8 + 12 + 23 + 571 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×481223571840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7126074 + ... + 7193286.

Almost surely, 2^481223571840 is an apocalyptic number.

481223571840 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 481223571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914430338640).

481223571840 is an abundant number, since it is smaller than the sum of its proper divisors (1347637105440).

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

481223571840 is a wasteful number, since it uses less digits than its factorization.

481223571840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67362 (or 67347 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 481223571840 in words is "four hundred eighty-one billion, two hundred twenty-three million, five hundred seventy-one thousand, eight hundred forty".