141451211312400 has 480 divisors, whose sum is σ = 510308611301376. Its totient is φ = 33181424640000.

The previous prime is 141451211312231. The next prime is 141451211312413. The reversal of 141451211312400 is 4213112154141.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6543506392 + ... + 6543528008.

Almost surely, 2^{141451211312400} is an apocalyptic number.

141451211312400 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 141451211312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255154305650688).

141451211312400 is an abundant number, since it is smaller than the sum of its proper divisors (368857399988976).

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

141451211312400 is a wasteful number, since it uses less digits than its factorization.

141451211312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37671 (or 37660 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 141451211312400 its reverse (4213112154141), we get a palindrome (145664323466541).

The spelling of 141451211312400 in words is "one hundred forty-one trillion, four hundred fifty-one billion, two hundred eleven million, three hundred twelve thousand, four hundred".