4264124400 has 360 divisors, whose sum is σ = 16086986240. Its totient is φ = 1041984000.

The previous prime is 4264124383. The next prime is 4264124407. The reversal of 4264124400 is 44214624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4264124407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2119395 + ... + 2121405.

Almost surely, 2^4264124400 is an apocalyptic number.

4264124400 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 4264124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043493120).

4264124400 is an abundant number, since it is smaller than the sum of its proper divisors (11822861840).

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

4264124400 is a wasteful number, since it uses less digits than its factorization.

4264124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4264124400 is about 65300.2633991625. The cubic root of 4264124400 is about 1621.5983310799.

The spelling of 4264124400 in words is "four billion, two hundred sixty-four million, one hundred twenty-four thousand, four hundred".