1400968800 has 972 divisors, whose sum is σ = 6616474956. Its totient is φ = 275788800.

The previous prime is 1400968757. The next prime is 1400968813. The reversal of 1400968800 is 88690041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 73735191 + ... + 73735209.

It is an arithmetic number, because the mean of its divisors is an integer number (6807073).

Almost surely, 2^1400968800 is an apocalyptic number.

1400968800 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 1400968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308237478).

1400968800 is an abundant number, since it is smaller than the sum of its proper divisors (5215506156).

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

1400968800 is a wasteful number, since it uses less digits than its factorization.

1400968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1400968800 is about 37429.5177633910. The cubic root of 1400968800 is about 1118.9469268314.

The spelling of 1400968800 in words is "one billion, four hundred million, nine hundred sixty-eight thousand, eight hundred".