1481763741120 has 1120 divisors, whose sum is σ = 5857364399040. Its totient is φ = 353301626880.

The previous prime is 1481763741097. The next prime is 1481763741163. The reversal of 1481763741120 is 211473671841.

1481763741120 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 7 + 637 + 4 + 1 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1451286210 + ... + 1451287230.

It is an arithmetic number, because the mean of its divisors is an integer number (5229789642).

Almost surely, 2^{1481763741120} is an apocalyptic number.

1481763741120 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 1481763741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928682199520).

1481763741120 is an abundant number, since it is smaller than the sum of its proper divisors (4375600657920).

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

1481763741120 is a wasteful number, since it uses less digits than its factorization.

1481763741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1481763741120 in words is "one trillion, four hundred eighty-one billion, seven hundred sixty-three million, seven hundred forty-one thousand, one hundred twenty".