107423607240000 has 1120 divisors, whose sum is σ = 419609571955200. Its totient is φ = 26847313920000.

The previous prime is 107423607239987. The next prime is 107423607240071. The reversal of 107423607240000 is 42706324701.

107423607240000 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 2 + 3 + 607 + 2 + 40 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4388027760 + ... + 4388052240.

Almost surely, 2^{107423607240000} is an apocalyptic number.

107423607240000 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 107423607240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209804785977600).

107423607240000 is an abundant number, since it is smaller than the sum of its proper divisors (312185964715200).

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

107423607240000 is a wasteful number, since it uses less digits than its factorization.

107423607240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24778 (or 24747 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 107423607240000 in words is "one hundred seven trillion, four hundred twenty-three billion, six hundred seven million, two hundred forty thousand".