1402275856800 has 1152 divisors, whose sum is σ = 5798736857088. Its totient is φ = 286488576000.

The previous prime is 1402275856763. The next prime is 1402275856823. The reversal of 1402275856800 is 86585722041.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1402275856800.

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, 892600015 + ... + 892601585.

It is an arithmetic number, because the mean of its divisors is an integer number (5033625744).

Almost surely, 2^{1402275856800} is an apocalyptic number.

1402275856800 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 1402275856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899368428544).

1402275856800 is an abundant number, since it is smaller than the sum of its proper divisors (4396461000288).

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

1402275856800 is a wasteful number, since it uses less digits than its factorization.

1402275856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 1402275856800 in words is "one trillion, four hundred two billion, two hundred seventy-five million, eight hundred fifty-six thousand, eight hundred".