940118400 has 672 divisors, whose sum is σ = 3870793920. Its totient is φ = 223948800.

The previous prime is 940118329. The next prime is 940118429. The reversal of 940118400 is 4811049.

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 polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 30326385 + ... + 30326415.

It is an arithmetic number, because the mean of its divisors is an integer number (5760110).

Almost surely, 2^940118400 is an apocalyptic number.

940118400 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 940118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935396960).

940118400 is an abundant number, since it is smaller than the sum of its proper divisors (2930675520).

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

940118400 is a wasteful number, since it uses less digits than its factorization.

940118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 54 counting only the distinct ones).

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

The square root of 940118400 is about 30661.3502638093. The cubic root of 940118400 is about 979.6272357106.

Adding to 940118400 its reverse (4811049), we get a palindrome (944929449).

The spelling of 940118400 in words is "nine hundred forty million, one hundred eighteen thousand, four hundred".