1156214400 has 192 divisors, whose sum is σ = 4154868000. Its totient is φ = 280268800.

The previous prime is 1156214383. The next prime is 1156214417. The reversal of 1156214400 is 44126511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1156214383) and next prime (1156214417).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100126 + ... + 111074.

Almost surely, 2^1156214400 is an apocalyptic number.

1156214400 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 1156214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077434000).

1156214400 is an abundant number, since it is smaller than the sum of its proper divisors (2998653600).

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

1156214400 is a wasteful number, since it uses less digits than its factorization.

1156214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10987 (or 10970 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1156214400 is about 34003.1527949983. The cubic root of 1156214400 is about 1049.5733413936.

It can be divided in two parts, 115621 and 4400, that added together give a palindrome (120021).

The spelling of 1156214400 in words is "one billion, one hundred fifty-six million, two hundred fourteen thousand, four hundred".