1236400416 has 96 divisors (see below), whose sum is σ = 3655753920. Its totient is φ = 406467072.

The previous prime is 1236400391. The next prime is 1236400423. The reversal of 1236400416 is 6140046321.

1236400416 is a `hidden beast` number, since 1 + 2 + 3 + 640 + 0 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1236400416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53271 + ... + 72873.

It is an arithmetic number, because the mean of its divisors is an integer number (38080770).

Almost surely, 2^1236400416 is an apocalyptic number.

1236400416 is a gapful number since it is divisible by the number (16) 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 1236400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827876960).

1236400416 is an abundant number, since it is smaller than the sum of its proper divisors (2419353504).

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

1236400416 is a wasteful number, since it uses less digits than its factorization.

1236400416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19695 (or 19681 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1236400416 is about 35162.4859189449. The cubic root of 1236400416 is about 1073.2965025576.

Adding to 1236400416 its reverse (6140046321), we get a palindrome (7376446737).

The spelling of 1236400416 in words is "one billion, two hundred thirty-six million, four hundred thousand, four hundred sixteen".