491507814142800 has 3600 divisors, whose sum is σ = 2277885331008000. Its totient is φ = 100261827993600.

The previous prime is 491507814142789. The next prime is 491507814142823. The reversal of 491507814142800 is 8241418705194.

It is a happy number.

491507814142800 is a `hidden beast` number, since 4 + 9 + 1 + 5 + 0 + 78 + 141 + 428 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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 polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 468548916676 + ... + 468548917724.

It is an arithmetic number, because the mean of its divisors is an integer number (632745925280).

Almost surely, 2^{491507814142800} is an apocalyptic number.

491507814142800 is a gapful number since it is divisible by the number (40) 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 491507814142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138942665504000).

491507814142800 is an abundant number, since it is smaller than the sum of its proper divisors (1786377516865200).

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

491507814142800 is a wasteful number, since it uses less digits than its factorization.

491507814142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 491507814142800 in words is "four hundred ninety-one trillion, five hundred seven billion, eight hundred fourteen million, one hundred forty-two thousand, eight hundred".