1114142400 has 378 divisors, whose sum is σ = 4609360860. Its totient is φ = 254499840.

The previous prime is 1114142383. The next prime is 1114142431. The reversal of 1114142400 is 42414111.

1114142400 is a `hidden beast` number, since 1 + 11 + 414 + 240 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 704811 + ... + 706389.

Almost surely, 2^1114142400 is an apocalyptic number.

1114142400 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 1114142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304680430).

1114142400 is an abundant number, since it is smaller than the sum of its proper divisors (3495218460).

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

1114142400 is a wasteful number, since it uses less digits than its factorization.

1114142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1114142400 is about 33378.7716969933. The cubic root of 1114142400 is about 1036.6852053402.

Adding to 1114142400 its reverse (42414111), we get a palindrome (1156556511).

The spelling of 1114142400 in words is "one billion, one hundred fourteen million, one hundred forty-two thousand, four hundred".