1341138864 has 320 divisors, whose sum is σ = 4199731200. Its totient is φ = 364953600.

The previous prime is 1341138787. The next prime is 1341138899. The reversal of 1341138864 is 4688311431.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15068932 + ... + 15069020.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2^1341138864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341138864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099865600).

1341138864 is an abundant number, since it is smaller than the sum of its proper divisors (2858592336).

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

1341138864 is a wasteful number, since it uses less digits than its factorization.

1341138864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 1341138864 is about 36621.5628284758. The cubic root of 1341138864 is about 1102.7860132794.

The spelling of 1341138864 in words is "one billion, three hundred forty-one million, one hundred thirty-eight thousand, eight hundred sixty-four".