141638017920 has 512 divisors, whose sum is σ = 541439631360. Its totient is φ = 30810931200.

The previous prime is 141638017909. The next prime is 141638017987. The reversal of 141638017920 is 29710836141.

It is a happy number.

It is a super-2 number, since 2×141638017920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25412254 + ... + 25417826.

It is an arithmetic number, because the mean of its divisors is an integer number (1057499280).

Almost surely, 2^141638017920 is an apocalyptic number.

141638017920 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 141638017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270719815680).

141638017920 is an abundant number, since it is smaller than the sum of its proper divisors (399801613440).

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

141638017920 is a wasteful number, since it uses less digits than its factorization.

141638017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 141638017920 in words is "one hundred forty-one billion, six hundred thirty-eight million, seventeen thousand, nine hundred twenty".