11130020144040 has 64 divisors (see below), whose sum is σ = 38160069068160. Its totient is φ = 2544004604160.

The previous prime is 11130020144027. The next prime is 11130020144099. The reversal of 11130020144040 is 4044102003111.

11130020144040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11130020143998 and 11130020144016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6625011151 + ... + 6625012830.

It is an arithmetic number, because the mean of its divisors is an integer number (596251079190).

Almost surely, 2^{11130020144040} is an apocalyptic number.

11130020144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11130020144040 is an abundant number, since it is smaller than the sum of its proper divisors (27030048924120).

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

11130020144040 is a wasteful number, since it uses less digits than its factorization.

11130020144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13250024002 (or 13250023998 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11130020144040 its reverse (4044102003111), we get a palindrome (15174122147151).

The spelling of 11130020144040 in words is "eleven trillion, one hundred thirty billion, twenty million, one hundred forty-four thousand, forty".