1150011331040 has 384 divisors, whose sum is σ = 3365935534080. Its totient is φ = 365042073600.

The previous prime is 1150011331039. The next prime is 1150011331057. The reversal of 1150011331040 is 401331100511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278653457 + ... + 278657583.

It is an arithmetic number, because the mean of its divisors is an integer number (8765457120).

Almost surely, 2^{1150011331040} is an apocalyptic number.

1150011331040 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 1150011331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682967767040).

1150011331040 is an abundant number, since it is smaller than the sum of its proper divisors (2215924203040).

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

1150011331040 is a wasteful number, since it uses less digits than its factorization.

1150011331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4826 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 1150011331040 its reverse (401331100511), we get a palindrome (1551342431551).

The spelling of 1150011331040 in words is "one trillion, one hundred fifty billion, eleven million, three hundred thirty-one thousand, forty".