70142054400 has 1404 divisors, whose sum is σ = 300296115756. Its totient is φ = 15571353600.

The previous prime is 70142054393. The next prime is 70142054413. The reversal of 70142054400 is 445024107.

70142054400 is a `hidden beast` number, since 7 + 0 + 14 + 205 + 440 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3751317504 + 66390736896 = 61248^2 + 257664^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1895731182 + ... + 1895731218.

Almost surely, 2^70142054400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70142054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150148057878).

70142054400 is an abundant number, since it is smaller than the sum of its proper divisors (230154061356).

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

70142054400 is a wasteful number, since it uses less digits than its factorization.

70142054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 70142054400 its reverse (445024107), we get a palindrome (70587078507).

The spelling of 70142054400 in words is "seventy billion, one hundred forty-two million, fifty-four thousand, four hundred".