1400463916800 has 1728 divisors, whose sum is σ = 5748382080000. Its totient is φ = 296280391680.

The previous prime is 1400463916793. The next prime is 1400463916807. The reversal of 1400463916800 is 86193640041.

It is an interprime number because it is at equal distance from previous prime (1400463916793) and next prime (1400463916807).

It is a super-2 number, since 2×1400463916800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400463916807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2338002901 + ... + 2338003499.

It is an arithmetic number, because the mean of its divisors is an integer number (3326610000).

Almost surely, 2^{1400463916800} is an apocalyptic number.

1400463916800 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 1400463916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874191040000).

1400463916800 is an abundant number, since it is smaller than the sum of its proper divisors (4347918163200).

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

1400463916800 is a wasteful number, since it uses less digits than its factorization.

1400463916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 1400463916800 in words is "one trillion, four hundred billion, four hundred sixty-three million, nine hundred sixteen thousand, eight hundred".