1368402000 has 320 divisors, whose sum is σ = 5209571328. Its totient is φ = 302400000.

The previous prime is 1368401987. The next prime is 1368402001. The reversal of 1368402000 is 2048631.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368402001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301475 + ... + 1302525.

Almost surely, 2^1368402000 is an apocalyptic number.

1368402000 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 1368402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604785664).

1368402000 is an abundant number, since it is smaller than the sum of its proper divisors (3841169328).

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

1368402000 is a wasteful number, since it uses less digits than its factorization.

1368402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1368402000 is about 36991.9180362414. The cubic root of 1368402000 is about 1110.2085477807.

The spelling of 1368402000 in words is "one billion, three hundred sixty-eight million, four hundred two thousand".