141006212640 has 384 divisors, whose sum is σ = 513164816640. Its totient is φ = 36582036480.

The previous prime is 141006212591. The next prime is 141006212657. The reversal of 141006212640 is 46212600141.

141006212640 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 0 + 6 + 2 + 12 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 12941595 + ... + 12952485.

It is an arithmetic number, because the mean of its divisors is an integer number (1336366710).

Almost surely, 2^141006212640 is an apocalyptic number.

141006212640 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 141006212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256582408320).

141006212640 is an abundant number, since it is smaller than the sum of its proper divisors (372158604000).

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

141006212640 is an equidigital number, since it uses as much as digits as its factorization.

141006212640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10964 (or 10938 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 141006212640 its reverse (46212600141), we get a palindrome (187218812781).

The spelling of 141006212640 in words is "one hundred forty-one billion, six million, two hundred twelve thousand, six hundred forty".