141186920490 has 768 divisors, whose sum is σ = 508564832256. Its totient is φ = 26276659200.

The previous prime is 141186920461. The next prime is 141186920513. The reversal of 141186920490 is 94029681141.

It is a happy number.

141186920490 is a `hidden beast` number, since 141 + 18 + 6 + 9 + 2 + 0 + 490 = 666.

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 383 ways as a sum of consecutive naturals, for example, 244691082 + ... + 244691658.

It is an arithmetic number, because the mean of its divisors is an integer number (662193792).

Almost surely, 2^141186920490 is an apocalyptic number.

141186920490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141186920490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254282416128).

141186920490 is an abundant number, since it is smaller than the sum of its proper divisors (367377911766).

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

141186920490 is a wasteful number, since it uses less digits than its factorization.

141186920490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 141186920490 in words is "one hundred forty-one billion, one hundred eighty-six million, nine hundred twenty thousand, four hundred ninety".