1410214000 has 160 divisors (see below), whose sum is σ = 3727511424. Its totient is φ = 512870400.

The previous prime is 1410213977. The next prime is 1410214007. The reversal of 1410214000 is 4120141.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410214007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1897629 + ... + 1898371.

Almost surely, 2^1410214000 is an apocalyptic number.

1410214000 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 1410214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863755712).

1410214000 is an abundant number, since it is smaller than the sum of its proper divisors (2317297424).

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

1410214000 is a wasteful number, since it uses less digits than its factorization.

1410214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1410214000 is about 37552.8161394056. The cubic root of 1410214000 is about 1121.4028976270.

Adding to 1410214000 its reverse (4120141), we get a palindrome (1414334141).

The spelling of 1410214000 in words is "one billion, four hundred ten million, two hundred fourteen thousand".