141200206045920 has 1440 divisors, whose sum is σ = 598850985680640. Its totient is φ = 31208469626880.

The previous prime is 141200206045903. The next prime is 141200206045963. The reversal of 141200206045920 is 29540602002141.

It is a happy number.

141200206045920 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 0 + 0 + 2 + 0 + 60 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×141200206045920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37187305462 + ... + 37187309258.

It is an arithmetic number, because the mean of its divisors is an integer number (415868740056).

Almost surely, 2^{141200206045920} is an apocalyptic number.

141200206045920 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 141200206045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299425492840320).

141200206045920 is an abundant number, since it is smaller than the sum of its proper divisors (457650779634720).

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

141200206045920 is a wasteful number, since it uses less digits than its factorization.

141200206045920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5758 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 141200206045920 in words is "one hundred forty-one trillion, two hundred billion, two hundred six million, forty-five thousand, nine hundred twenty".