1001941200 has 360 divisors, whose sum is σ = 3805867520. Its totient is φ = 242611200.

The previous prime is 1001941177. The next prime is 1001941201. The reversal of 1001941200 is 21491001.

1001941200 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 (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001941201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3697065 + ... + 3697335.

Almost surely, 2^1001941200 is an apocalyptic number.

1001941200 is a gapful number since it is divisible by the number (10) 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 1001941200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902933760).

1001941200 is an abundant number, since it is smaller than the sum of its proper divisors (2803926320).

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

1001941200 is a wasteful number, since it uses less digits than its factorization.

1001941200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1001941200 is about 31653.4547877479. The cubic root of 1001941200 is about 1000.6466484224.

The spelling of 1001941200 in words is "one billion, one million, nine hundred forty-one thousand, two hundred".