1481871872880 has 1920 divisors, whose sum is σ = 6364392652800. Its totient is φ = 319877268480.

The previous prime is 1481871872857. The next prime is 1481871872891. The reversal of 1481871872880 is 882781781841.

1481871872880 is a `hidden beast` number, since 1 + 481 + 8 + 7 + 1 + 8 + 72 + 8 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13849269787 + ... + 13849269893.

It is an arithmetic number, because the mean of its divisors is an integer number (3314787840).

Almost surely, 2^{1481871872880} is an apocalyptic number.

1481871872880 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 1481871872880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182196326400).

1481871872880 is an abundant number, since it is smaller than the sum of its proper divisors (4882520779920).

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

1481871872880 is a wasteful number, since it uses less digits than its factorization.

1481871872880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 12845056, while the sum is 63.

The spelling of 1481871872880 in words is "one trillion, four hundred eighty-one billion, eight hundred seventy-one million, eight hundred seventy-two thousand, eight hundred eighty".