141034414200 has 192 divisors, whose sum is σ = 450887212800. Its totient is φ = 36450355200.

The previous prime is 141034414181. The next prime is 141034414211. The reversal of 141034414200 is 2414430141.

It is a super-3 number, since 3×141034414200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2485344 + ... + 2541456.

It is an arithmetic number, because the mean of its divisors is an integer number (2348370900).

Almost surely, 2^141034414200 is an apocalyptic number.

141034414200 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 141034414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225443606400).

141034414200 is an abundant number, since it is smaller than the sum of its proper divisors (309852798600).

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

141034414200 is a wasteful number, since it uses less digits than its factorization.

141034414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56262 (or 56253 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 141034414200 its reverse (2414430141), we get a palindrome (143448844341).

The spelling of 141034414200 in words is "one hundred forty-one billion, thirty-four million, four hundred fourteen thousand, two hundred".