1336461120 has 392 divisors, whose sum is σ = 5067156744. Its totient is φ = 334430208.

The previous prime is 1336461109. The next prime is 1336461149. The reversal of 1336461120 is 211646331.

1336461120 is a `hidden beast` number, since 1 + 3 + 3 + 646 + 1 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 156950784 + 1179510336 = 12528^2 + 34344^2 .

It is a super-2 number, since 2×1336461120² = 3572256650543308800, which contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 3965592 + ... + 3965928.

Almost surely, 2^1336461120 is an apocalyptic number.

1336461120 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 1336461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533578372).

1336461120 is an abundant number, since it is smaller than the sum of its proper divisors (3730695624).

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

1336461120 is an equidigital number, since it uses as much as digits as its factorization.

1336461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 364 counting only the distinct ones).

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

The square root of 1336461120 is about 36557.6410617534. The cubic root of 1336461120 is about 1101.5023878651.

The spelling of 1336461120 in words is "one billion, three hundred thirty-six million, four hundred sixty-one thousand, one hundred twenty".