1463444407100 has 144 divisors (see below), whose sum is σ = 3683770890240. Its totient is φ = 500182214400.

The previous prime is 1463444407063. The next prime is 1463444407111. The reversal of 1463444407100 is 17044443641.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137471 + ... + 1716329.

Almost surely, 2^{1463444407100} is an apocalyptic number.

1463444407100 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 1463444407100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841885445120).

1463444407100 is an abundant number, since it is smaller than the sum of its proper divisors (2220326483140).

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

1463444407100 is a wasteful number, since it uses less digits than its factorization.

1463444407100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578940 (or 1578933 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 1463444407100 in words is "one trillion, four hundred sixty-three billion, four hundred forty-four million, four hundred seven thousand, one hundred".