1150310125440 has 2048 divisors, whose sum is σ = 5035563417600. Its totient is φ = 242660966400.

The previous prime is 1150310125421. The next prime is 1150310125441. The reversal of 1150310125440 is 445210130511.

1150310125440 is a `hidden beast` number, since 1 + 1 + 503 + 101 + 2 + 54 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150310125441) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10750561867 + ... + 10750561973.

It is an arithmetic number, because the mean of its divisors is an integer number (2458771200).

Almost surely, 2^{1150310125440} is an apocalyptic number.

1150310125440 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 1150310125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517781708800).

1150310125440 is an abundant number, since it is smaller than the sum of its proper divisors (3885253292160).

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

1150310125440 is a wasteful number, since it uses less digits than its factorization.

1150310125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 1150310125440 its reverse (445210130511), we get a palindrome (1595520255951).

The spelling of 1150310125440 in words is "one trillion, one hundred fifty billion, three hundred ten million, one hundred twenty-five thousand, four hundred forty".