11012400041004 has 72 divisors (see below), whose sum is σ = 27849324812400. Its totient is φ = 3669162076800.

The previous prime is 11012400040979. The next prime is 11012400041051. The reversal of 11012400041004 is 40014000421011.

11012400041004 is a `hidden beast` number, since 1 + 10 + 1 + 240 + 0 + 0 + 410 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1498485922 + ... + 1498493270.

It is an arithmetic number, because the mean of its divisors is an integer number (386796177950).

Almost surely, 2^{11012400041004} is an apocalyptic number.

It is an amenable number.

11012400041004 is an abundant number, since it is smaller than the sum of its proper divisors (16836924771396).

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

11012400041004 is a wasteful number, since it uses less digits than its factorization.

11012400041004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20271 (or 20266 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11012400041004 its reverse (40014000421011), we get a palindrome (51026400462015).

The spelling of 11012400041004 in words is "eleven trillion, twelve billion, four hundred million, forty-one thousand, four".