403432424400 has 120 divisors (see below), whose sum is σ = 1293223542880. Its totient is φ = 107507473920.

The previous prime is 403432424333. The next prime is 403432424429. The reversal of 403432424400 is 4424234304.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1627911 + ... + 1859289.

Almost surely, 2^403432424400 is an apocalyptic number.

403432424400 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 403432424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646611771440).

403432424400 is an abundant number, since it is smaller than the sum of its proper divisors (889791118480).

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

403432424400 is a wasteful number, since it uses less digits than its factorization.

403432424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232853 (or 232842 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 403432424400 its reverse (4424234304), we get a palindrome (407856658704).

The spelling of 403432424400 in words is "four hundred three billion, four hundred thirty-two million, four hundred twenty-four thousand, four hundred".