1402869216000 has 864 divisors, whose sum is σ = 5510371688640. Its totient is φ = 315334656000.

The previous prime is 1402869215953. The next prime is 1402869216031. The reversal of 1402869216000 is 6129682041.

It is a super-3 number, since 3×1402869216000³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1402869216000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 286941556 + ... + 286946444.

It is an arithmetic number, because the mean of its divisors is an integer number (6377745010).

Almost surely, 2^{1402869216000} is an apocalyptic number.

1402869216000 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 1402869216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755185844320).

1402869216000 is an abundant number, since it is smaller than the sum of its proper divisors (4107502472640).

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

1402869216000 is an equidigital number, since it uses as much as digits as its factorization.

1402869216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 1402869216000 in words is "one trillion, four hundred two billion, eight hundred sixty-nine million, two hundred sixteen thousand".