107814413807460 has 288 divisors, whose sum is σ = 343370611164672. Its totient is φ = 27330610728960.

The previous prime is 107814413807239. The next prime is 107814413807521. The reversal of 107814413807460 is 64708314418701.

107814413807460 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 1 + 44 + 138 + 0 + 7 + 460 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 107814413807397 and 107814413807406.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 433776742 + ... + 434025218.

It is an arithmetic number, because the mean of its divisors is an integer number (1192259066544).

Almost surely, 2^{107814413807460} is an apocalyptic number.

107814413807460 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 107814413807460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171685305582336).

107814413807460 is an abundant number, since it is smaller than the sum of its proper divisors (235556197357212).

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

107814413807460 is a wasteful number, since it uses less digits than its factorization.

107814413807460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249163 (or 249158 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 107814413807460 in words is "one hundred seven trillion, eight hundred fourteen billion, four hundred thirteen million, eight hundred seven thousand, four hundred sixty".