1361421600 has 576 divisors, whose sum is σ = 5669637120. Its totient is φ = 275558400.

The previous prime is 1361421583. The next prime is 1361421601. The reversal of 1361421600 is 61241631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1361421601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9794331 + ... + 9794469.

It is an arithmetic number, because the mean of its divisors is an integer number (9843120).

Almost surely, 2^1361421600 is an apocalyptic number.

1361421600 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 1361421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834818560).

1361421600 is an abundant number, since it is smaller than the sum of its proper divisors (4308215520).

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

1361421600 is a wasteful number, since it uses less digits than its factorization.

1361421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1361421600 is about 36897.4470661589. The cubic root of 1361421600 is about 1108.3175550671.

The spelling of 1361421600 in words is "one billion, three hundred sixty-one million, four hundred twenty-one thousand, six hundred".