1361011400 has 192 divisors, whose sum is σ = 3753509760. Its totient is φ = 449280000.

The previous prime is 1361011397. The next prime is 1361011451. The reversal of 1361011400 is 41101631.

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, 7519310 + ... + 7519490.

It is an arithmetic number, because the mean of its divisors is an integer number (19549530).

Almost surely, 2^1361011400 is an apocalyptic number.

1361011400 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 1361011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876754880).

1361011400 is an abundant number, since it is smaller than the sum of its proper divisors (2392498360).

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

1361011400 is a wasteful number, since it uses less digits than its factorization.

1361011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1361011400 is about 36891.8879972278. The cubic root of 1361011400 is about 1108.2062308627.

The spelling of 1361011400 in words is "one billion, three hundred sixty-one million, eleven thousand, four hundred".