1400630400 has 768 divisors, whose sum is σ = 5843376000. Its totient is φ = 325140480.

The previous prime is 1400630389. The next prime is 1400630431. The reversal of 1400630400 is 40360041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32572779 + ... + 32572821.

Almost surely, 2^1400630400 is an apocalyptic number.

1400630400 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 1400630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921688000).

1400630400 is an abundant number, since it is smaller than the sum of its proper divisors (4442745600).

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

1400630400 is a wasteful number, since it uses less digits than its factorization.

1400630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1400630400 is about 37424.9969939879. The cubic root of 1400630400 is about 1118.8568267683.

Adding to 1400630400 its reverse (40360041), we get a palindrome (1440990441).

The spelling of 1400630400 in words is "one billion, four hundred million, six hundred thirty thousand, four hundred".