1411879448448 has 512 divisors, whose sum is σ = 4975589376000. Its totient is φ = 385370929152.

The previous prime is 1411879448423. The next prime is 1411879448477. The reversal of 1411879448448 is 8448449781141.

1411879448448 is a `hidden beast` number, since 1 + 4 + 1 + 187 + 9 + 4 + 4 + 8 + 448 = 666.

It is a super-3 number, since 3×1411879448448³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 878580061 + ... + 878581667.

It is an arithmetic number, because the mean of its divisors is an integer number (9717948000).

Almost surely, 2^{1411879448448} is an apocalyptic number.

1411879448448 is a gapful number since it is divisible by the number (18) 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 1411879448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487794688000).

1411879448448 is an abundant number, since it is smaller than the sum of its proper divisors (3563709927552).

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

1411879448448 is a wasteful number, since it uses less digits than its factorization.

1411879448448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3221 counting only the distinct ones).

The product of its digits is 33030144, while the sum is 63.

The spelling of 1411879448448 in words is "one trillion, four hundred eleven billion, eight hundred seventy-nine million, four hundred forty-eight thousand, four hundred forty-eight".