1429716837120 has 576 divisors, whose sum is σ = 5384935987200. Its totient is φ = 318714347520.

The previous prime is 1429716837113. The next prime is 1429716837121. The reversal of 1429716837120 is 217386179241.

It is not an unprimeable number, because it can be changed into a prime (1429716837121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147708441 + ... + 147718119.

It is an arithmetic number, because the mean of its divisors is an integer number (9348847200).

Almost surely, 2^{1429716837120} is an apocalyptic number.

1429716837120 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 1429716837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692467993600).

1429716837120 is an abundant number, since it is smaller than the sum of its proper divisors (3955219150080).

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

1429716837120 is a wasteful number, since it uses less digits than its factorization.

1429716837120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9996 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 1429716837120 in words is "one trillion, four hundred twenty-nine billion, seven hundred sixteen million, eight hundred thirty-seven thousand, one hundred twenty".