141620270400 has 1260 divisors, whose sum is σ = 627245595900. Its totient is φ = 31213486080.

The previous prime is 141620270383. The next prime is 141620270443. The reversal of 141620270400 is 4072026141.

141620270400 is a `hidden beast` number, since 1 + 416 + 202 + 7 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4767626304 + 136852644096 = 69048^2 + 369936^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 184161216 + ... + 184161984.

It is an arithmetic number, because the mean of its divisors is an integer number (497813965).

Almost surely, 2^141620270400 is an apocalyptic number.

141620270400 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 141620270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313622797950).

141620270400 is an abundant number, since it is smaller than the sum of its proper divisors (485625325500).

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

141620270400 is a wasteful number, since it uses less digits than its factorization.

141620270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 141620270400 its reverse (4072026141), we get a palindrome (145692296541).

The spelling of 141620270400 in words is "one hundred forty-one billion, six hundred twenty million, two hundred seventy thousand, four hundred".