1368407040 has 704 divisors, whose sum is σ = 5942522880. Its totient is φ = 259522560.

The previous prime is 1368407009. The next prime is 1368407041. The reversal of 1368407040 is 407048631.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1368406992 and 1368407010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368407041) 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, 15375316 + ... + 15375404.

Almost surely, 2^1368407040 is an apocalyptic number.

1368407040 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 1368407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971261440).

1368407040 is an abundant number, since it is smaller than the sum of its proper divisors (4574115840).

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

1368407040 is a wasteful number, since it uses less digits than its factorization.

1368407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1368407040 is about 36991.9861591670. The cubic root of 1368407040 is about 1110.2099107925.

The spelling of 1368407040 in words is "one billion, three hundred sixty-eight million, four hundred seven thousand, forty".