4124996400 has 540 divisors, whose sum is σ = 16100494056. Its totient is φ = 899942400.

The previous prime is 4124996389. The next prime is 4124996401. The reversal of 4124996400 is 46994214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124996401) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 56506764 + ... + 56506836.

Almost surely, 2^4124996400 is an apocalyptic number.

4124996400 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 4124996400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8050247028).

4124996400 is an abundant number, since it is smaller than the sum of its proper divisors (11975497656).

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

4124996400 is a wasteful number, since it uses less digits than its factorization.

4124996400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 4124996400 is about 64226.1348673575. The cubic root of 4124996400 is about 1603.7666984473.

The spelling of 4124996400 in words is "four billion, one hundred twenty-four million, nine hundred ninety-six thousand, four hundred".