481972541292 has 288 divisors, whose sum is σ = 1395094192128. Its totient is φ = 138967920000.

The previous prime is 481972541177. The next prime is 481972541417. The reversal of 481972541292 is 292145279184.

481972541292 is a `hidden beast` number, since 4 + 8 + 1 + 9 + 7 + 2 + 541 + 2 + 92 = 666.

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, 529058317 + ... + 529059227.

It is an arithmetic number, because the mean of its divisors is an integer number (4844077056).

Almost surely, 2^481972541292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481972541292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697547096064).

481972541292 is an abundant number, since it is smaller than the sum of its proper divisors (913121650836).

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

481972541292 is a wasteful number, since it uses less digits than its factorization.

481972541292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1636 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 481972541292 in words is "four hundred eighty-one billion, nine hundred seventy-two million, five hundred forty-one thousand, two hundred ninety-two".