4199270400 has 432 divisors, whose sum is σ = 16219000980. Its totient is φ = 1032192000.

The previous prime is 4199270399. The next prime is 4199270423. The reversal of 4199270400 is 40729914.

It can be written as a sum of positive squares in 6 ways, for example, as 1541661696 + 2657608704 = 39264^2 + 51552^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5990050 + ... + 5990750.

Almost surely, 2^4199270400 is an apocalyptic number.

4199270400 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 4199270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8109500490).

4199270400 is an abundant number, since it is smaller than the sum of its proper divisors (12019730580).

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

4199270400 is a wasteful number, since it uses less digits than its factorization.

4199270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4199270400 is about 64801.7777533919. Note that the first 4 decimals coincide. The cubic root of 4199270400 is about 1613.3352154127.

The spelling of 4199270400 in words is "four billion, one hundred ninety-nine million, two hundred seventy thousand, four hundred".