1150601630400 has 840 divisors, whose sum is σ = 4388918466240. Its totient is φ = 295446528000.

The previous prime is 1150601630383. The next prime is 1150601630401. The reversal of 1150601630400 is 40361060511.

1150601630400 is a `hidden beast` number, since 1 + 1 + 50 + 601 + 6 + 3 + 0 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×1150601630400² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1150601630401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 419773030 + ... + 419775770.

It is an arithmetic number, because the mean of its divisors is an integer number (5224902936).

Almost surely, 2^{1150601630400} is an apocalyptic number.

1150601630400 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 1150601630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194459233120).

1150601630400 is an abundant number, since it is smaller than the sum of its proper divisors (3238316835840).

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

1150601630400 is a wasteful number, since it uses less digits than its factorization.

1150601630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2871 counting only the distinct ones).

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

Adding to 1150601630400 its reverse (40361060511), we get a palindrome (1190962690911).

The spelling of 1150601630400 in words is "one trillion, one hundred fifty billion, six hundred one million, six hundred thirty thousand, four hundred".