4072642200 has 576 divisors, whose sum is σ = 16148966400. Its totient is φ = 940896000.

The previous prime is 4072642169. The next prime is 4072642237. The reversal of 4072642200 is 22462704.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 15028065 + ... + 15028335.

It is an arithmetic number, because the mean of its divisors is an integer number (28036400).

Almost surely, 2^4072642200 is an apocalyptic number.

4072642200 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 4072642200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8074483200).

4072642200 is an abundant number, since it is smaller than the sum of its proper divisors (12076324200).

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

4072642200 is a wasteful number, since it uses less digits than its factorization.

4072642200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4072642200 is about 63817.2562869950. The cubic root of 4072642200 is about 1596.9528201602.

The spelling of 4072642200 in words is "four billion, seventy-two million, six hundred forty-two thousand, two hundred".