1418342400 has 546 divisors, whose sum is σ = 5550713060. Its totient is φ = 358318080.

The previous prime is 1418342399. The next prime is 1418342441. The reversal of 1418342400 is 42438141.

1418342400 is a `hidden beast` number, since 1 + 418 + 3 + 4 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 74649591 + ... + 74649609.

Almost surely, 2^1418342400 is an apocalyptic number.

1418342400 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 1418342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775356530).

1418342400 is an abundant number, since it is smaller than the sum of its proper divisors (4132370660).

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

1418342400 is an frugal number, since it uses more digits than its factorization.

1418342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1418342400 is about 37660.8868721914. The cubic root of 1418342400 is about 1123.5533405097.

The spelling of 1418342400 in words is "one billion, four hundred eighteen million, three hundred forty-two thousand, four hundred".