1429668350880 has 1152 divisors, whose sum is σ = 5855776706304. Its totient is φ = 289839513600.

The previous prime is 1429668350867. The next prime is 1429668350909. The reversal of 1429668350880 is 880538669241.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2477761152 + ... + 2477761728.

It is an arithmetic number, because the mean of its divisors is an integer number (5083139502).

Almost surely, 2^{1429668350880} is an apocalyptic number.

1429668350880 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 1429668350880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927888353152).

1429668350880 is an abundant number, since it is smaller than the sum of its proper divisors (4426108355424).

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

1429668350880 is a wasteful number, since it uses less digits than its factorization.

1429668350880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 1429668350880 in words is "one trillion, four hundred twenty-nine billion, six hundred sixty-eight million, three hundred fifty thousand, eight hundred eighty".