4090921200 has 300 divisors, whose sum is σ = 15159321408. Its totient is φ = 1055462400.

The previous prime is 4090921193. The next prime is 4090921201. The reversal of 4090921200 is 21290904.

4090921200 is digitally balanced in base 2, because in such base 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 (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4090921201) 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, 1002364 + ... + 1006436.

Almost surely, 2^4090921200 is an apocalyptic number.

4090921200 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 4090921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579660704).

4090921200 is an abundant number, since it is smaller than the sum of its proper divisors (11068400208).

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

4090921200 is a wasteful number, since it uses less digits than its factorization.

4090921200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4090921200 is about 63960.3095677311. The cubic root of 4090921200 is about 1599.3384244030.

The spelling of 4090921200 in words is "four billion, ninety million, nine hundred twenty-one thousand, two hundred".