1265366400 has 192 divisors, whose sum is σ = 4217475600. Its totient is φ = 333414400.

The previous prime is 1265366341. The next prime is 1265366407. The reversal of 1265366400 is 46635621.

1265366400 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1265366407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853660 + ... + 855140.

Almost surely, 2^1265366400 is an apocalyptic number.

1265366400 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 1265366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108737800).

1265366400 is an abundant number, since it is smaller than the sum of its proper divisors (2952109200).

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

1265366400 is a wasteful number, since it uses less digits than its factorization.

1265366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1265366400 is about 35571.9889800950. The cubic root of 1265366400 is about 1081.6135004676.

The spelling of 1265366400 in words is "one billion, two hundred sixty-five million, three hundred sixty-six thousand, four hundred".