1463441075040 has 384 divisors, whose sum is σ = 5580542822400. Its totient is φ = 314697351168.

The previous prime is 1463441075029. The next prime is 1463441075059. The reversal of 1463441075040 is 405701443641.

It is a super-2 number, since 2×1463441075040² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1463441075040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236073861 + ... + 236080059.

It is an arithmetic number, because the mean of its divisors is an integer number (14532663600).

Almost surely, 2^{1463441075040} is an apocalyptic number.

1463441075040 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 1463441075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790271411200).

1463441075040 is an abundant number, since it is smaller than the sum of its proper divisors (4117101747360).

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

1463441075040 is a wasteful number, since it uses less digits than its factorization.

1463441075040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10374 (or 10366 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 1463441075040 in words is "one trillion, four hundred sixty-three billion, four hundred forty-one million, seventy-five thousand, forty".