1014114400 has 72 divisors (see below), whose sum is σ = 2666173104. Its totient is φ = 374438400.

The previous prime is 1014114397. The next prime is 1014114401. The reversal of 1014114400 is 44114101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014114401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38356 + ... + 59155.

It is an arithmetic number, because the mean of its divisors is an integer number (37030182).

Almost surely, 2^1014114400 is an apocalyptic number.

1014114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014114400 is an abundant number, since it is smaller than the sum of its proper divisors (1652058704).

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

1014114400 is a wasteful number, since it uses less digits than its factorization.

1014114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97544 (or 97531 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1014114400 is about 31845.1628979976. The cubic root of 1014114400 is about 1004.6828368095.

Adding to 1014114400 its reverse (44114101), we get a palindrome (1058228501).

The spelling of 1014114400 in words is "one billion, fourteen million, one hundred fourteen thousand, four hundred".