1429980496600 has 288 divisors, whose sum is σ = 3732552172800. Its totient is φ = 507969792000.

The previous prime is 1429980496597. The next prime is 1429980496621. The reversal of 1429980496600 is 66940899241.

It is a super-2 number, since 2×1429980496600² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 288824125 + ... + 288829075.

It is an arithmetic number, because the mean of its divisors is an integer number (12960250600).

Almost surely, 2^{1429980496600} is an apocalyptic number.

1429980496600 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 1429980496600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866276086400).

1429980496600 is an abundant number, since it is smaller than the sum of its proper divisors (2302571676200).

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

1429980496600 is a wasteful number, since it uses less digits than its factorization.

1429980496600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5283 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 58.

The spelling of 1429980496600 in words is "one trillion, four hundred twenty-nine billion, nine hundred eighty million, four hundred ninety-six thousand, six hundred".