46431004400 has 120 divisors (see below), whose sum is σ = 124521982464. Its totient is φ = 16491283200.

The previous prime is 46431004391. The next prime is 46431004421. The reversal of 46431004400 is 440013464.

46431004400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 46431004400.

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, 66497 + ... + 311903.

Almost surely, 2^46431004400 is an apocalyptic number.

46431004400 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 46431004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62260991232).

46431004400 is an abundant number, since it is smaller than the sum of its proper divisors (78090978064).

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

46431004400 is a wasteful number, since it uses less digits than its factorization.

46431004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245479 (or 245468 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 46431004400 its reverse (440013464), we get a palindrome (46871017864).

The spelling of 46431004400 in words is "forty-six billion, four hundred thirty-one million, four thousand, four hundred".