1691434967040 has 1568 divisors, whose sum is σ = 7555569608160. Its totient is φ = 356874190848.

The previous prime is 1691434967003. The next prime is 1691434967051. The reversal of 1691434967040 is 407694341961.

1691434967040 is a `hidden beast` number, since 1 + 6 + 9 + 1 + 43 + 496 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1568).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 130110382074 + ... + 130110382086.

Almost surely, 2^{1691434967040} is an apocalyptic number.

1691434967040 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 1691434967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777784804080).

1691434967040 is an abundant number, since it is smaller than the sum of its proper divisors (5864134641120).

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

1691434967040 is an frugal number, since it uses more digits than its factorization.

1691434967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1691434967040 in words is "one trillion, six hundred ninety-one billion, four hundred thirty-four million, nine hundred sixty-seven thousand, forty".