107490440610240 has 448 divisors, whose sum is σ = 371180220263424. Its totient is φ = 26244881252352.

The previous prime is 107490440610239. The next prime is 107490440610269. The reversal of 107490440610240 is 42016044094701.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 107490440610192 and 107490440610201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6960455959 + ... + 6960471401.

Almost surely, 2^{107490440610240} is an apocalyptic number.

107490440610240 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 107490440610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185590110131712).

107490440610240 is an abundant number, since it is smaller than the sum of its proper divisors (263689779653184).

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

107490440610240 is a wasteful number, since it uses less digits than its factorization.

107490440610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27044 (or 27034 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 107490440610240 in words is "one hundred seven trillion, four hundred ninety billion, four hundred forty million, six hundred ten thousand, two hundred forty".