141200916480 has 816 divisors, whose sum is σ = 549617402880. Its totient is φ = 33294385152.

The previous prime is 141200916407. The next prime is 141200916487. The reversal of 141200916480 is 84619002141.

141200916480 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 0 + 0 + 9 + 1 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (141200916487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111818177 + ... + 1111818303.

Almost surely, 2^141200916480 is an apocalyptic number.

141200916480 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 141200916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274808701440).

141200916480 is an abundant number, since it is smaller than the sum of its proper divisors (408416486400).

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

141200916480 is a wasteful number, since it uses less digits than its factorization.

141200916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 141200916480 in words is "one hundred forty-one billion, two hundred million, nine hundred sixteen thousand, four hundred eighty".