35123253440 has 224 divisors, whose sum is σ = 95264313408. Its totient is φ = 12220416000.

The previous prime is 35123253419. The next prime is 35123253443. The reversal of 35123253440 is 4435232153.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 35123253397 and 35123253406.

It is not an unprimeable number, because it can be changed into a prime (35123253443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7942430 + ... + 7946850.

Almost surely, 2^35123253440 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 35123253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47632156704).

35123253440 is an abundant number, since it is smaller than the sum of its proper divisors (60141059968).

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

35123253440 is a wasteful number, since it uses less digits than its factorization.

35123253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 35123253440 its reverse (4435232153), we get a palindrome (39558485593).

The spelling of 35123253440 in words is "thirty-five billion, one hundred twenty-three million, two hundred fifty-three thousand, four hundred forty".