1448019781740 has 576 divisors, whose sum is σ = 5775354224640. Its totient is φ = 285589463040.

The previous prime is 1448019781711. The next prime is 1448019781753. The reversal of 1448019781740 is 471879108441.

1448019781740 is a `hidden beast` number, since 1 + 4 + 480 + 1 + 97 + 8 + 1 + 74 + 0 = 666.

It is a super-2 number, since 2×1448019781740² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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, 12558994 + ... + 12673766.

It is an arithmetic number, because the mean of its divisors is an integer number (10026656640).

Almost surely, 2^{1448019781740} is an apocalyptic number.

1448019781740 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 1448019781740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887677112320).

1448019781740 is an abundant number, since it is smaller than the sum of its proper divisors (4327334442900).

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

1448019781740 is a wasteful number, since it uses less digits than its factorization.

1448019781740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114862 (or 114857 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 1448019781740 in words is "one trillion, four hundred forty-eight billion, nineteen million, seven hundred eighty-one thousand, seven hundred forty".