1360401000 has 128 divisors (see below), whose sum is σ = 4850876160. Its totient is φ = 310944000.

The previous prime is 1360400999. The next prime is 1360401043. The reversal of 1360401000 is 1040631.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11391 + ... + 53390.

It is an arithmetic number, because the mean of its divisors is an integer number (37897470).

Almost surely, 2^1360401000 is an apocalyptic number.

1360401000 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 1360401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425438080).

1360401000 is an abundant number, since it is smaller than the sum of its proper divisors (3490475160).

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

1360401000 is a wasteful number, since it uses less digits than its factorization.

1360401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64812 (or 64798 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1360401000 is about 36883.6142480641. The cubic root of 1360401000 is about 1108.0405329522.

Adding to 1360401000 its reverse (1040631), we get a palindrome (1361441631).

The spelling of 1360401000 in words is "one billion, three hundred sixty million, four hundred one thousand".