1414381824 has 90 divisors (see below), whose sum is σ = 4217492510. Its totient is φ = 471453696.

The previous prime is 1414381819. The next prime is 1414381873. The reversal of 1414381824 is 4281834141.

It is a happy number.

1414381824 is a `hidden beast` number, since 1 + 41 + 438 + 182 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1194393600 + 219988224 = 34560^2 + 14832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13369 + ... + 54840.

Almost surely, 2^1414381824 is an apocalyptic number.

It is an amenable number.

1414381824 is an abundant number, since it is smaller than the sum of its proper divisors (2803110686).

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

1414381824 is an frugal number, since it uses more digits than its factorization.

1414381824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68237 (or 68214 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 1414381824 is about 37608.2680271240. The cubic root of 1414381824 is about 1122.5065629912.

The spelling of 1414381824 in words is "one billion, four hundred fourteen million, three hundred eighty-one thousand, eight hundred twenty-four".