1369040400 has 720 divisors, whose sum is σ = 6135024000. Its totient is φ = 287400960.

The previous prime is 1369040371. The next prime is 1369040401. The reversal of 1369040400 is 40409631.

1369040400 is a `hidden beast` number, since 136 + 90 + 40 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1369040401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6879501 + ... + 6879699.

Almost surely, 2^1369040400 is an apocalyptic number.

1369040400 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 1369040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067512000).

1369040400 is an abundant number, since it is smaller than the sum of its proper divisors (4765983600).

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

1369040400 is a wasteful number, since it uses less digits than its factorization.

1369040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1369040400 is about 37000.5459419182. The cubic root of 1369040400 is about 1110.3811693122.

The spelling of 1369040400 in words is "one billion, three hundred sixty-nine million, forty thousand, four hundred".