141264512400 has 480 divisors, whose sum is σ = 525167280000. Its totient is φ = 32079052800.

The previous prime is 141264512399. The next prime is 141264512423. The reversal of 141264512400 is 4215462141.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 51386226 + ... + 51388974.

It is an arithmetic number, because the mean of its divisors is an integer number (1094098500).

Almost surely, 2^141264512400 is an apocalyptic number.

141264512400 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 141264512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262583640000).

141264512400 is an abundant number, since it is smaller than the sum of its proper divisors (383902767600).

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

141264512400 is a wasteful number, since it uses less digits than its factorization.

141264512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 141264512400 its reverse (4215462141), we get a palindrome (145479974541).

The spelling of 141264512400 in words is "one hundred forty-one billion, two hundred sixty-four million, five hundred twelve thousand, four hundred".