1667353431040 has 176 divisors, whose sum is σ = 4364948125440. Its totient is φ = 606081761280.

The previous prime is 1667353430989. The next prime is 1667353431059. The reversal of 1667353431040 is 401343537661.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244369069 + ... + 244375891.

Almost surely, 2^{1667353431040} is an apocalyptic number.

1667353431040 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 1667353431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182474062720).

1667353431040 is an abundant number, since it is smaller than the sum of its proper divisors (2697594694400).

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

1667353431040 is a wasteful number, since it uses less digits than its factorization.

1667353431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11198 (or 11180 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 43.

The spelling of 1667353431040 in words is "one trillion, six hundred sixty-seven billion, three hundred fifty-three million, four hundred thirty-one thousand, forty".