153400434444 has 168 divisors, whose sum is σ = 424188578240. Its totient is φ = 48383648352.

The previous prime is 153400434389. The next prime is 153400434449. The reversal of 153400434444 is 444434004351.

153400434444 is a `hidden beast` number, since 1 + 534 + 0 + 0 + 43 + 44 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 153400434399 and 153400434408.

It is not an unprimeable number, because it can be changed into a prime (153400434449) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 82163199 + ... + 82165065.

Almost surely, 2^153400434444 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 153400434444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212094289120).

153400434444 is an abundant number, since it is smaller than the sum of its proper divisors (270788143796).

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

153400434444 is a wasteful number, since it uses less digits than its factorization.

153400434444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 153400434444 its reverse (444434004351), we get a palindrome (597834438795).

The spelling of 153400434444 in words is "one hundred fifty-three billion, four hundred million, four hundred thirty-four thousand, four hundred forty-four".