940114800 has 180 divisors, whose sum is σ = 3292755024. Its totient is φ = 248371200.

The previous prime is 940114793. The next prime is 940114801. The reversal of 940114800 is 8411049.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (940114801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 405645 + ... + 407955.

Almost surely, 2^940114800 is an apocalyptic number.

940114800 is a gapful number since it is divisible by the number (90) 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 940114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646377512).

940114800 is an abundant number, since it is smaller than the sum of its proper divisors (2352640224).

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

940114800 is a wasteful number, since it uses less digits than its factorization.

940114800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 940114800 is about 30661.2915579236. The cubic root of 940114800 is about 979.6259852785.

Adding to 940114800 its reverse (8411049), we get a palindrome (948525849).

The spelling of 940114800 in words is "nine hundred forty million, one hundred fourteen thousand, eight hundred".