141396480 has 360 divisors, whose sum is σ = 547227252. Its totient is φ = 33619968.

The previous prime is 141396457. The next prime is 141396481. The reversal of 141396480 is 84693141.

141396480 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 9 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 140564736 + 831744 = 11856^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 (141396481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7441911 + ... + 7441929.

Almost surely, 2^141396480 is an apocalyptic number.

141396480 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 141396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273613626).

141396480 is an abundant number, since it is smaller than the sum of its proper divisors (405830772).

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

141396480 is a wasteful number, since it uses less digits than its factorization.

141396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 141396480 is about 11891.0251870896. The cubic root of 141396480 is about 520.9701808867.

The spelling of 141396480 in words is "one hundred forty-one million, three hundred ninety-six thousand, four hundred eighty".