141134676480 has 640 divisors, whose sum is σ = 584730432000. Its totient is φ = 32253935616.

The previous prime is 141134676457. The next prime is 141134676539. The reversal of 141134676480 is 84676431141.

141134676480 is a `hidden beast` number, since 1 + 41 + 13 + 467 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×141134676480² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 23705184 + ... + 23711136.

It is an arithmetic number, because the mean of its divisors is an integer number (913641300).

Almost surely, 2^141134676480 is an apocalyptic number.

141134676480 is a gapful number since it is divisible by the number (10) 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 141134676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292365216000).

141134676480 is an abundant number, since it is smaller than the sum of its proper divisors (443595755520).

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

141134676480 is an frugal number, since it uses more digits than its factorization.

141134676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 141134676480 in words is "one hundred forty-one billion, one hundred thirty-four million, six hundred seventy-six thousand, four hundred eighty".