1463721591120 has 640 divisors, whose sum is σ = 5042343936000. Its totient is φ = 349808025600.

The previous prime is 1463721591109. The next prime is 1463721591127. The reversal of 1463721591120 is 211951273641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463721591127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1715968614 + ... + 1715969466.

It is an arithmetic number, because the mean of its divisors is an integer number (7878662400).

Almost surely, 2^{1463721591120} is an apocalyptic number.

1463721591120 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 1463721591120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521171968000).

1463721591120 is an abundant number, since it is smaller than the sum of its proper divisors (3578622344880).

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

1463721591120 is a wasteful number, since it uses less digits than its factorization.

1463721591120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 1463721591120 in words is "one trillion, four hundred sixty-three billion, seven hundred twenty-one million, five hundred ninety-one thousand, one hundred twenty".