1158221030400 has 2112 divisors, whose sum is σ = 5253630412800. Its totient is φ = 244134051840.

The previous prime is 1158221030371. The next prime is 1158221030429. The reversal of 1158221030400 is 40301228511.

1158221030400 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 221 + 0 + 30 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1158221030371) and next prime (1158221030429).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3952972654 + ... + 3952972946.

It is an arithmetic number, because the mean of its divisors is an integer number (2487514400).

Almost surely, 2^{1158221030400} is an apocalyptic number.

1158221030400 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 1158221030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626815206400).

1158221030400 is an abundant number, since it is smaller than the sum of its proper divisors (4095409382400).

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

1158221030400 is a wasteful number, since it uses less digits than its factorization.

1158221030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 1158221030400 its reverse (40301228511), we get a palindrome (1198522258911).

The spelling of 1158221030400 in words is "one trillion, one hundred fifty-eight billion, two hundred twenty-one million, thirty thousand, four hundred".