251433441342 has 96 divisors (see below), whose sum is σ = 598869573120. Its totient is φ = 75885353280.

The previous prime is 251433441299. The next prime is 251433441353. The reversal of 251433441342 is 243144334152.

251433441342 is a `hidden beast` number, since 2 + 51 + 433 + 44 + 134 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 251433441297 and 251433441306.

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, 10032367 + ... + 10057397.

It is an arithmetic number, because the mean of its divisors is an integer number (6238224720).

Almost surely, 2^251433441342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251433441342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299434786560).

251433441342 is an abundant number, since it is smaller than the sum of its proper divisors (347436131778).

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

251433441342 is a wasteful number, since it uses less digits than its factorization.

251433441342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26358 (or 26355 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 251433441342 its reverse (243144334152), we get a palindrome (494577775494).

It can be divided in two parts, 25143344 and 1342, that added together give a triangular number (25144686 = T₇₀₉₁).

The spelling of 251433441342 in words is "two hundred fifty-one billion, four hundred thirty-three million, four hundred forty-one thousand, three hundred forty-two".