1400214816 has 384 divisors, whose sum is σ = 5486745600. Its totient is φ = 335508480.

The previous prime is 1400214811. The next prime is 1400214833. The reversal of 1400214816 is 6184120041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1400214816.

It is not an unprimeable number, because it can be changed into a prime (1400214811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864055 + ... + 865673.

It is an arithmetic number, because the mean of its divisors is an integer number (14288400).

Almost surely, 2^1400214816 is an apocalyptic number.

1400214816 is a gapful number since it is divisible by the number (16) 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 1400214816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743372800).

1400214816 is an abundant number, since it is smaller than the sum of its proper divisors (4086530784).

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

1400214816 is a wasteful number, since it uses less digits than its factorization.

1400214816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1400214816 is about 37419.4443571788. Note that the first 3 decimals coincide. The cubic root of 1400214816 is about 1118.7461563656.

Adding to 1400214816 its reverse (6184120041), we get a palindrome (7584334857).

The spelling of 1400214816 in words is "one billion, four hundred million, two hundred fourteen thousand, eight hundred sixteen".