4126982400 has 540 divisors, whose sum is σ = 16100792400. Its totient is φ = 1040117760.

The previous prime is 4126982393. The next prime is 4126982401. The reversal of 4126982400 is 42896214.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4126982401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9849391 + ... + 9849809.

Almost surely, 2^4126982400 is an apocalyptic number.

4126982400 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 4126982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8050396200).

4126982400 is an abundant number, since it is smaller than the sum of its proper divisors (11973810000).

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

4126982400 is a wasteful number, since it uses less digits than its factorization.

4126982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4126982400 is about 64241.5940026398. The cubic root of 4126982400 is about 1604.0240376329.

The spelling of 4126982400 in words is "four billion, one hundred twenty-six million, nine hundred eighty-two thousand, four hundred".