141768400410 has 192 divisors, whose sum is σ = 453877482240. Its totient is φ = 29897164800.

The previous prime is 141768400391. The next prime is 141768400439. The reversal of 141768400410 is 14004867141.

141768400410 is a `hidden beast` number, since 141 + 7 + 68 + 40 + 0 + 410 = 666.

141768400410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31848685 + ... + 31853135.

It is an arithmetic number, because the mean of its divisors is an integer number (2363945220).

Almost surely, 2^141768400410 is an apocalyptic number.

141768400410 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 141768400410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226938741120).

141768400410 is an abundant number, since it is smaller than the sum of its proper divisors (312109081830).

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

141768400410 is a wasteful number, since it uses less digits than its factorization.

141768400410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8373 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 141768400410 in words is "one hundred forty-one billion, seven hundred sixty-eight million, four hundred thousand, four hundred ten".