1712280407040 has 1056 divisors, whose sum is σ = 7068017848320. Its totient is φ = 375039590400.

The previous prime is 1712280407003. The next prime is 1712280407093. The reversal of 1712280407040 is 407040822171.

1712280407040 is a `hidden beast` number, since 17 + 122 + 80 + 407 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1712280406986 and 1712280407004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1089929455 + ... + 1089931025.

It is an arithmetic number, because the mean of its divisors is an integer number (6693198720).

Almost surely, 2^{1712280407040} is an apocalyptic number.

1712280407040 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 1712280407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534008924160).

1712280407040 is an abundant number, since it is smaller than the sum of its proper divisors (5355737441280).

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

1712280407040 is a wasteful number, since it uses less digits than its factorization.

1712280407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 1712280407040 in words is "one trillion, seven hundred twelve billion, two hundred eighty million, four hundred seven thousand, forty".