129448112640 has 1280 divisors, whose sum is σ = 558324264960. Its totient is φ = 24772608000.

The previous prime is 129448112623. The next prime is 129448112657. The reversal of 129448112640 is 46211844921.

It is an interprime number because it is at equal distance from previous prime (129448112623) and next prime (129448112657).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 129448112592 and 129448112601.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 460669300 + ... + 460669580.

It is an arithmetic number, because the mean of its divisors is an integer number (436190832).

Almost surely, 2^129448112640 is an apocalyptic number.

129448112640 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 129448112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279162132480).

129448112640 is an abundant number, since it is smaller than the sum of its proper divisors (428876152320).

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

129448112640 is a wasteful number, since it uses less digits than its factorization.

129448112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 129448112640 in words is "one hundred twenty-nine billion, four hundred forty-eight million, one hundred twelve thousand, six hundred forty".