4000147200 has 432 divisors, whose sum is σ = 16768648960. Its totient is φ = 914042880.

The previous prime is 4000147181. The next prime is 4000147213. The reversal of 4000147200 is 27410004.

It is a happy number.

4000147200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1207947 + ... + 1211253.

Almost surely, 2^4000147200 is an apocalyptic number.

4000147200 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 4000147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384324480).

4000147200 is an abundant number, since it is smaller than the sum of its proper divisors (12768501760).

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

4000147200 is a wasteful number, since it uses less digits than its factorization.

4000147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4000147200 is about 63246.7169108405. The cubic root of 4000147200 is about 1587.4205238489.

Adding to 4000147200 its reverse (27410004), we get a palindrome (4027557204).

The spelling of 4000147200 in words is "four billion, one hundred forty-seven thousand, two hundred".