4125313432240 has 640 divisors, whose sum is σ = 13287633537024. Its totient is φ = 1159183872000.

The previous prime is 4125313432231. The next prime is 4125313432277. The reversal of 4125313432240 is 422343135214.

It is a junction number, because it is equal to n+sod(n) for n = 4125313432196 and 4125313432205.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 416651290 + ... + 416661190.

Almost surely, 2^{4125313432240} is an apocalyptic number.

4125313432240 is a gapful number since it is divisible by the number (40) 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 4125313432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643816768512).

4125313432240 is an abundant number, since it is smaller than the sum of its proper divisors (9162320104784).

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

4125313432240 is a wasteful number, since it uses less digits than its factorization.

4125313432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 4125313432240 its reverse (422343135214), we get a palindrome (4547656567454).

The spelling of 4125313432240 in words is "four trillion, one hundred twenty-five billion, three hundred thirteen million, four hundred thirty-two thousand, two hundred forty".