1414131264 has 672 divisors, whose sum is σ = 5663427840. Its totient is φ = 335757312.

The previous prime is 1414131139. The next prime is 1414131283. The reversal of 1414131264 is 4621314141.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61483957 + ... + 61483979.

It is an arithmetic number, because the mean of its divisors is an integer number (8427720).

Almost surely, 2^1414131264 is an apocalyptic number.

1414131264 is a gapful number since it is divisible by the number (14) 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 1414131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831713920).

1414131264 is an abundant number, since it is smaller than the sum of its proper divisors (4249296576).

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

1414131264 is a wasteful number, since it uses less digits than its factorization.

1414131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1414131264 is about 37604.9366971944. The cubic root of 1414131264 is about 1122.4402744663.

The spelling of 1414131264 in words is "one billion, four hundred fourteen million, one hundred thirty-one thousand, two hundred sixty-four".