4132400424 has 32 divisors (see below), whose sum is σ = 10332606240. Its totient is φ = 1377252800.

The previous prime is 4132400423. The next prime is 4132400449. The reversal of 4132400424 is 4240042314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4132400394 and 4132400403.

It is not an unprimeable number, because it can be changed into a prime (4132400423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250759 + ... + 266729.

It is an arithmetic number, because the mean of its divisors is an integer number (322893945).

Almost surely, 2^4132400424 is an apocalyptic number.

It is an amenable number.

4132400424 is an abundant number, since it is smaller than the sum of its proper divisors (6200205816).

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

4132400424 is a wasteful number, since it uses less digits than its factorization.

4132400424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26761 (or 26757 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4132400424 is about 64283.7492994925. The cubic root of 4132400424 is about 1604.7256673430.

Adding to 4132400424 its reverse (4240042314), we get a palindrome (8372442738).

The spelling of 4132400424 in words is "four billion, one hundred thirty-two million, four hundred thousand, four hundred twenty-four".