1101411070224 has 160 divisors (see below), whose sum is σ = 3068154101760. Its totient is φ = 339416179200.

The previous prime is 1101411070217. The next prime is 1101411070241. The reversal of 1101411070224 is 4220701141011.

It is a happy number.

It is a super-2 number, since 2×1101411070224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1101411070194 and 1101411070203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6987319 + ... + 7143209.

It is an arithmetic number, because the mean of its divisors is an integer number (19175963136).

Almost surely, 2^{1101411070224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101411070224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534077050880).

1101411070224 is an abundant number, since it is smaller than the sum of its proper divisors (1966743031536).

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

1101411070224 is a wasteful number, since it uses less digits than its factorization.

1101411070224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156109 (or 156103 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The spelling of 1101411070224 in words is "one trillion, one hundred one billion, four hundred eleven million, seventy thousand, two hundred twenty-four".