1400340144 has 160 divisors (see below), whose sum is σ = 4224729600. Its totient is φ = 391458816.

The previous prime is 1400340131. The next prime is 1400340163. The reversal of 1400340144 is 4410430041.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1400340144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4155144 + ... + 4155480.

It is an arithmetic number, because the mean of its divisors is an integer number (26404560).

Almost surely, 2^1400340144 is an apocalyptic number.

1400340144 is a gapful number since it is divisible by the number (14) 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 1400340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112364800).

1400340144 is an abundant number, since it is smaller than the sum of its proper divisors (2824389456).

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

1400340144 is a wasteful number, since it uses less digits than its factorization.

1400340144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1400340144 is about 37421.1189570809. The cubic root of 1400340144 is about 1118.7795336335.

Adding to 1400340144 its reverse (4410430041), we get a palindrome (5810770185).

The spelling of 1400340144 in words is "one billion, four hundred million, three hundred forty thousand, one hundred forty-four".