1402320000 has 160 divisors (see below), whose sum is σ = 4655447280. Its totient is φ = 373888000.

The previous prime is 1402319957. The next prime is 1402320011. The reversal of 1402320000 is 232041.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-4 number, since 4×1402320000⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 237079 + ... + 242921.

Almost surely, 2^1402320000 is an apocalyptic number.

1402320000 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 1402320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327723640).

1402320000 is an abundant number, since it is smaller than the sum of its proper divisors (3253127280).

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

1402320000 is an frugal number, since it uses more digits than its factorization.

1402320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1402320000 is about 37447.5633386206. The cubic root of 1402320000 is about 1119.3065435189.

Adding to 1402320000 its reverse (232041), we get a palindrome (1402552041).

The spelling of 1402320000 in words is "one billion, four hundred two million, three hundred twenty thousand".