1361591400 has 192 divisors, whose sum is σ = 4571582400. Its totient is φ = 333250560.

The previous prime is 1361591327. The next prime is 1361591419. The reversal of 1361591400 is 41951631.

It is a super-2 number, since 2×1361591400² = 3707862281107920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1770216 + ... + 1770984.

It is an arithmetic number, because the mean of its divisors is an integer number (23810325).

Almost surely, 2^1361591400 is an apocalyptic number.

1361591400 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 1361591400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285791200).

1361591400 is an abundant number, since it is smaller than the sum of its proper divisors (3209991000).

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

1361591400 is a wasteful number, since it uses less digits than its factorization.

1361591400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1361591400 is about 36899.7479666190. The cubic root of 1361591400 is about 1108.3636305560.

The spelling of 1361591400 in words is "one billion, three hundred sixty-one million, five hundred ninety-one thousand, four hundred".