4011972800 has 504 divisors, whose sum is σ = 12215030688. Its totient is φ = 1288601600.

The previous prime is 4011972761. The next prime is 4011972829. The reversal of 4011972800 is 82791104.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75697574 + ... + 75697626.

It is an arithmetic number, because the mean of its divisors is an integer number (24236172).

Almost surely, 2^4011972800 is an apocalyptic number.

4011972800 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 4011972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107515344).

4011972800 is an abundant number, since it is smaller than the sum of its proper divisors (8203057888).

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

4011972800 is a wasteful number, since it uses less digits than its factorization.

4011972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 4011972800 is about 63340.1357750360. The cubic root of 4011972800 is about 1588.9832773206.

The spelling of 4011972800 in words is "four billion, eleven million, nine hundred seventy-two thousand, eight hundred".