1368914400 has 432 divisors, whose sum is σ = 5583955104. Its totient is φ = 309104640.

The previous prime is 1368914363. The next prime is 1368914423. The reversal of 1368914400 is 44198631.

1368914400 is a `hidden beast` number, since 136 + 89 + 1 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7912714 + ... + 7912886.

It is an arithmetic number, because the mean of its divisors is an integer number (12925822).

Almost surely, 2^1368914400 is an apocalyptic number.

1368914400 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 1368914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791977552).

1368914400 is an abundant number, since it is smaller than the sum of its proper divisors (4215040704).

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

1368914400 is a wasteful number, since it uses less digits than its factorization.

1368914400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1368914400 is about 36998.8432251604. The cubic root of 1368914400 is about 1110.3471035243.

It can be divided in two parts, 13689 and 14400, that multiplied together give a square (197121600 = 14040²).

The spelling of 1368914400 in words is "one billion, three hundred sixty-eight million, nine hundred fourteen thousand, four hundred".