1400011200 has 1008 divisors, whose sum is σ = 6485656320. Its totient is φ = 278691840.

The previous prime is 1400011199. The next prime is 1400011201. The reversal of 1400011200 is 21100041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1400011199) and next prime (1400011201).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400011201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32558379 + ... + 32558421.

Almost surely, 2^1400011200 is an apocalyptic number.

1400011200 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 1400011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242828160).

1400011200 is an abundant number, since it is smaller than the sum of its proper divisors (5085645120).

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

1400011200 is a wasteful number, since it uses less digits than its factorization.

1400011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1400011200 is about 37416.7235337356. The cubic root of 1400011200 is about 1118.6919252440.

Adding to 1400011200 its reverse (21100041), we get a palindrome (1421111241).

It can be divided in two parts, 14000 and 11200, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 1400011200 in words is "one billion, four hundred million, eleven thousand, two hundred".