102434412907008 has 1440 divisors, whose sum is σ = 386686569582720. Its totient is φ = 27013223817216.

The previous prime is 102434412907007. The next prime is 102434412907213. The reversal of 102434412907008 is 800709214434201.

102434412907008 is a `hidden beast` number, since 10 + 2 + 4 + 344 + 1 + 290 + 7 + 0 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (102434412907007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9272594541 + ... + 9272605587.

It is an arithmetic number, because the mean of its divisors is an integer number (268532339988).

Almost surely, 2^{102434412907008} is an apocalyptic number.

102434412907008 is a gapful number since it is divisible by the number (18) 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 102434412907008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193343284791360).

102434412907008 is an abundant number, since it is smaller than the sum of its proper divisors (284252156675712).

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

102434412907008 is an frugal number, since it uses more digits than its factorization.

102434412907008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11126 (or 11072 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 102434412907008 in words is "one hundred two trillion, four hundred thirty-four billion, four hundred twelve million, nine hundred seven thousand, eight".