4958400400 has 60 divisors (see below), whose sum is σ = 12296863744. Its totient is φ = 1919376000.

The previous prime is 4958400397. The next prime is 4958400413. The reversal of 4958400400 is 40048594.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187536 + ... + 212335.

Almost surely, 2^4958400400 is an apocalyptic number.

4958400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4958400400 is an abundant number, since it is smaller than the sum of its proper divisors (7338463344).

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

4958400400 is a wasteful number, since it uses less digits than its factorization.

4958400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399920 (or 399909 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 4958400400 is about 70415.9101340031. The cubic root of 4958400400 is about 1705.2204460366.

Adding to 4958400400 its reverse (40048594), we get a palindrome (4998448994).

The spelling of 4958400400 in words is "four billion, nine hundred fifty-eight million, four hundred thousand, four hundred".