4958191400 has 48 divisors (see below), whose sum is σ = 11629863900. Its totient is φ = 1965716480.

The previous prime is 4958191391. The next prime is 4958191453. The reversal of 4958191400 is 41918594.

It can be written as a sum of positive squares in 6 ways, for example, as 657717316 + 4300474084 = 25646^2 + 65578^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87095 + ... + 132294.

Almost surely, 2^4958191400 is an apocalyptic number.

4958191400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4958191400 is an abundant number, since it is smaller than the sum of its proper divisors (6671672500).

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

4958191400 is a wasteful number, since it uses less digits than its factorization.

4958191400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219518 (or 219509 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 4958191400 is about 70414.4260787518. The cubic root of 4958191400 is about 1705.1964869603.

The spelling of 4958191400 in words is "four billion, nine hundred fifty-eight million, one hundred ninety-one thousand, four hundred".