141199251840 has 448 divisors, whose sum is σ = 513767622960. Its totient is φ = 37082935296.

The previous prime is 141199251757. The next prime is 141199251859. The reversal of 141199251840 is 48152991141.

It is a happy number.

141199251840 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 9 + 92 + 518 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31257262 + ... + 31261778.

Almost surely, 2^141199251840 is an apocalyptic number.

141199251840 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 141199251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256883811480).

141199251840 is an abundant number, since it is smaller than the sum of its proper divisors (372568371120).

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

141199251840 is an frugal number, since it uses more digits than its factorization.

141199251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 141199251840 in words is "one hundred forty-one billion, one hundred ninety-nine million, two hundred fifty-one thousand, eight hundred forty".