1101623171040 has 288 divisors, whose sum is σ = 4297334985216. Its totient is φ = 251740707840.

The previous prime is 1101623171021. The next prime is 1101623171041. The reversal of 1101623171040 is 401713261011.

1101623171040 is a `hidden beast` number, since 1 + 10 + 1 + 623 + 17 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1101623171040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101623170995 and 1101623171013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101623171041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54734419 + ... + 54754541.

It is an arithmetic number, because the mean of its divisors is an integer number (14921302032).

Almost surely, 2^{1101623171040} is an apocalyptic number.

1101623171040 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 1101623171040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148667492608).

1101623171040 is an abundant number, since it is smaller than the sum of its proper divisors (3195711814176).

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

1101623171040 is a wasteful number, since it uses less digits than its factorization.

1101623171040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25582 (or 25571 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 1101623171040 in words is "one trillion, one hundred one billion, six hundred twenty-three million, one hundred seventy-one thousand, forty".