1485726417792 has 192 divisors, whose sum is σ = 4320344770560. Its totient is φ = 490054947840.

The previous prime is 1485726417757. The next prime is 1485726417793. The reversal of 1485726417792 is 2977146275841.

1485726417792 is a `hidden beast` number, since 1 + 4 + 85 + 72 + 6 + 417 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1485726417793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42884317 + ... + 42918947.

It is an arithmetic number, because the mean of its divisors is an integer number (22501795680).

Almost surely, 2^{1485726417792} is an apocalyptic number.

1485726417792 is a gapful number since it is divisible by the number (12) 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 1485726417792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160172385280).

1485726417792 is an abundant number, since it is smaller than the sum of its proper divisors (2834618352768).

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

1485726417792 is a wasteful number, since it uses less digits than its factorization.

1485726417792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35041 (or 35026 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The spelling of 1485726417792 in words is "one trillion, four hundred eighty-five billion, seven hundred twenty-six million, four hundred seventeen thousand, seven hundred ninety-two".