1151366400 has 270 divisors, whose sum is σ = 4259042942. Its totient is φ = 306892800.

The previous prime is 1151366383. The next prime is 1151366413. The reversal of 1151366400 is 46631511.

1151366400 is a `hidden beast` number, since 1 + 1 + 5 + 13 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 129413376 + 1021953024 = 11376^2 + 31968^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 517290 + ... + 519510.

Almost surely, 2^1151366400 is an apocalyptic number.

1151366400 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 1151366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129521471).

1151366400 is an abundant number, since it is smaller than the sum of its proper divisors (3107676542).

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

1151366400 is an equidigital number, since it uses as much as digits as its factorization.

1151366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1151366400 is about 33931.7904036908. The cubic root of 1151366400 is about 1048.1043347361.

Adding to 1151366400 its reverse (46631511), we get a palindrome (1197997911).

The spelling of 1151366400 in words is "one billion, one hundred fifty-one million, three hundred sixty-six thousand, four hundred".