1491767342208 has 1152 divisors, whose sum is σ = 5419611288000. Its totient is φ = 402659942400.

The previous prime is 1491767342167. The next prime is 1491767342209. The reversal of 1491767342208 is 8022437671941.

1491767342208 is a `hidden beast` number, since 1 + 4 + 91 + 7 + 6 + 7 + 342 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1491767342209) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4274404818 + ... + 4274405166.

Almost surely, 2^{1491767342208} is an apocalyptic number.

1491767342208 is a gapful number since it is divisible by the number (18) 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 1491767342208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709805644000).

1491767342208 is an abundant number, since it is smaller than the sum of its proper divisors (3927843945792).

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

1491767342208 is a wasteful number, since it uses less digits than its factorization.

1491767342208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1491767342208 in words is "one trillion, four hundred ninety-one billion, seven hundred sixty-seven million, three hundred forty-two thousand, two hundred eight".