141463815805440 has 1440 divisors, whose sum is σ = 534208356601920. Its totient is φ = 34498482536448.

The previous prime is 141463815805423. The next prime is 141463815805447. The reversal of 141463815805440 is 44508518364141.

141463815805440 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 6 + 3 + 8 + 1 + 580 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×141463815805440² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (141463815805447) 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, 82103200419 + ... + 82103202141.

It is an arithmetic number, because the mean of its divisors is an integer number (370978025418).

Almost surely, 2^{141463815805440} is an apocalyptic number.

141463815805440 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 141463815805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267104178300960).

141463815805440 is an abundant number, since it is smaller than the sum of its proper divisors (392744540796480).

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

141463815805440 is a wasteful number, since it uses less digits than its factorization.

141463815805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 141463815805440 in words is "one hundred forty-one trillion, four hundred sixty-three billion, eight hundred fifteen million, eight hundred five thousand, four hundred forty".