141929082400 has 144 divisors (see below), whose sum is σ = 396139645440. Its totient is φ = 48642048000.

The previous prime is 141929082389. The next prime is 141929082403. The reversal of 141929082400 is 4280929141.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (141929082403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26882961 + ... + 26888239.

It is an arithmetic number, because the mean of its divisors is an integer number (2750969760).

Almost surely, 2^141929082400 is an apocalyptic number.

141929082400 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 141929082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198069822720).

141929082400 is an abundant number, since it is smaller than the sum of its proper divisors (254210563040).

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

141929082400 is a wasteful number, since it uses less digits than its factorization.

141929082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10107 (or 10094 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 141929082400 in words is "one hundred forty-one billion, nine hundred twenty-nine million, eighty-two thousand, four hundred".