1400400400 has 240 divisors, whose sum is σ = 4013136000. Its totient is φ = 469271040.

The previous prime is 1400400371. The next prime is 1400400431. The reversal of 1400400400 is 40040041.

It is a happy number.

It is a super-2 number, since 2×1400400400² = 3922242560640320000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 8094714 + ... + 8094886.

It is an arithmetic number, because the mean of its divisors is an integer number (16721400).

Almost surely, 2^1400400400 is an apocalyptic number.

1400400400 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 1400400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006568000).

1400400400 is an abundant number, since it is smaller than the sum of its proper divisors (2612735600).

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

1400400400 is a wasteful number, since it uses less digits than its factorization.

1400400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 1400400400 is about 37421.9240552914. The cubic root of 1400400400 is about 1118.7955802617.

Adding to 1400400400 its reverse (40040041), we get a palindrome (1440440441).

The spelling of 1400400400 in words is "one billion, four hundred million, four hundred thousand, four hundred".