129198397440 has 384 divisors, whose sum is σ = 487644917760. Its totient is φ = 28576972800.

The previous prime is 129198397439. The next prime is 129198397459. The reversal of 129198397440 is 44793891921.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×129198397440³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6656550 + ... + 6675930.

It is an arithmetic number, because the mean of its divisors is an integer number (1269908640).

Almost surely, 2^129198397440 is an apocalyptic number.

129198397440 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 129198397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243822458880).

129198397440 is an abundant number, since it is smaller than the sum of its proper divisors (358446520320).

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

129198397440 is a wasteful number, since it uses less digits than its factorization.

129198397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19449 (or 19429 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 129198397440 in words is "one hundred twenty-nine billion, one hundred ninety-eight million, three hundred ninety-seven thousand, four hundred forty".