1400064000 has 192 divisors, whose sum is σ = 4660830720. Its totient is φ = 373145600.

The previous prime is 1400063999. The next prime is 1400064049. The reversal of 1400064000 is 4600041.

1400064000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 15 ways as a sum of consecutive naturals, for example, 767089 + ... + 768911.

It is an arithmetic number, because the mean of its divisors is an integer number (24275160).

Almost surely, 2^1400064000 is an apocalyptic number.

1400064000 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 1400064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330415360).

1400064000 is an abundant number, since it is smaller than the sum of its proper divisors (3260766720).

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

1400064000 is an equidigital number, since it uses as much as digits as its factorization.

1400064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1833 counting only the distinct ones).

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

The square root of 1400064000 is about 37417.4290939396. The cubic root of 1400064000 is about 1118.7059885103.

Adding to 1400064000 its reverse (4600041), we get a palindrome (1404664041).

The spelling of 1400064000 in words is "one billion, four hundred million, sixty-four thousand".