141149211840 has 1008 divisors, whose sum is σ = 621521776512. Its totient is φ = 29129490432.

The previous prime is 141149211799. The next prime is 141149211851. The reversal of 141149211840 is 48112941141.

141149211840 is a `hidden beast` number, since 1 + 4 + 11 + 492 + 118 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 141149211795 and 141149211804.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86223502 + ... + 86225138.

It is an arithmetic number, because the mean of its divisors is an integer number (616589064).

Almost surely, 2^141149211840 is an apocalyptic number.

141149211840 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 141149211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310760888256).

141149211840 is an abundant number, since it is smaller than the sum of its proper divisors (480372564672).

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

141149211840 is a wasteful number, since it uses less digits than its factorization.

141149211840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 141149211840 in words is "one hundred forty-one billion, one hundred forty-nine million, two hundred eleven thousand, eight hundred forty".