1481908775040 has 384 divisors, whose sum is σ = 5172329260800. Its totient is φ = 390930333696.

The previous prime is 1481908775029. The next prime is 1481908775057. The reversal of 1481908775040 is 405778091841.

1481908775040 is a `hidden beast` number, since 1 + 48 + 1 + 90 + 8 + 7 + 7 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621865689 + ... + 621868071.

It is an arithmetic number, because the mean of its divisors is an integer number (13469607450).

Almost surely, 2^{1481908775040} is an apocalyptic number.

1481908775040 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 1481908775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586164630400).

1481908775040 is an abundant number, since it is smaller than the sum of its proper divisors (3690420485760).

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

1481908775040 is a wasteful number, since it uses less digits than its factorization.

1481908775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 1481908775040 in words is "one trillion, four hundred eighty-one billion, nine hundred eight million, seven hundred seventy-five thousand, forty".