110007142888040 has 256 divisors, whose sum is σ = 261163180800000. Its totient is φ = 41641776304128.

The previous prime is 110007142888039. The next prime is 110007142888051. The reversal of 110007142888040 is 40888241700011.

It is a happy number.

It is a Cunningham number, because it is equal to 10488429²-1.

It is a junction number, because it is equal to n+sod(n) for n = 110007142887982 and 110007142888000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45855414761 + ... + 45855417159.

It is an arithmetic number, because the mean of its divisors is an integer number (1020168675000).

Almost surely, 2^{110007142888040} is an apocalyptic number.

110007142888040 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 110007142888040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130581590400000).

110007142888040 is an abundant number, since it is smaller than the sum of its proper divisors (151156037911960).

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

110007142888040 is a wasteful number, since it uses less digits than its factorization.

110007142888040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 44.

The spelling of 110007142888040 in words is "one hundred ten trillion, seven billion, one hundred forty-two million, eight hundred eighty-eight thousand, forty".