117550066041040 has 240 divisors, whose sum is σ = 298261390518000. Its totient is φ = 43045313642496.

The previous prime is 117550066041019. The next prime is 117550066041127. The reversal of 117550066041040 is 40140660055711.

It can be written as a sum of positive squares in 24 ways, for example, as 43333150515264 + 74216915525776 = 6582792^2 + 8614924^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 117550066040984 and 117550066041002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3172808436 + ... + 3172845484.

It is an arithmetic number, because the mean of its divisors is an integer number (1242755793825).

Almost surely, 2^{117550066041040} is an apocalyptic number.

117550066041040 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 117550066041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149130695259000).

117550066041040 is an abundant number, since it is smaller than the sum of its proper divisors (180711324476960).

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

117550066041040 is a wasteful number, since it uses less digits than its factorization.

117550066041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40842 (or 40819 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 117550066041040 in words is "one hundred seventeen trillion, five hundred fifty billion, sixty-six million, forty-one thousand, forty".