1406400000 has 240 divisors, whose sum is σ = 4699105488. Its totient is φ = 373760000.

The previous prime is 1406399977. The next prime is 1406400001. The reversal of 1406400000 is 46041.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4799854 + ... + 4800146.

Almost surely, 2^1406400000 is an apocalyptic number.

1406400000 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 1406400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349552744).

1406400000 is an abundant number, since it is smaller than the sum of its proper divisors (3292705488).

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

1406400000 is an frugal number, since it uses more digits than its factorization.

1406400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1406400000 is about 37501.9999466695. Note that the first 4 decimals coincide. The cubic root of 1406400000 is about 1120.3910199319.

Adding to 1406400000 its reverse (46041), we get a palindrome (1406446041).

The spelling of 1406400000 in words is "one billion, four hundred six million, four hundred thousand".