11000400315040 has 48 divisors (see below), whose sum is σ = 26028613602432. Its totient is φ = 4393359218944.

The previous prime is 11000400314999. The next prime is 11000400315049. The reversal of 11000400315040 is 4051300400011.

It is a super-2 number, since 2×11000400315040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11000400314999 and 11000400315017.

It is not an unprimeable number, because it can be changed into a prime (11000400315049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53028244 + ... + 53235283.

It is an arithmetic number, because the mean of its divisors is an integer number (542262783384).

Almost surely, 2^{11000400315040} is an apocalyptic number.

11000400315040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000400315040 is an abundant number, since it is smaller than the sum of its proper divisors (15028213287392).

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

11000400315040 is a wasteful number, since it uses less digits than its factorization.

11000400315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106264189 (or 106264181 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 11000400315040 its reverse (4051300400011), we get a palindrome (15051700715051).

The spelling of 11000400315040 in words is "eleven trillion, four hundred million, three hundred fifteen thousand, forty".