491319950400 has 504 divisors, whose sum is σ = 1814848779744. Its totient is φ = 130736332800.

The previous prime is 491319950399. The next prime is 491319950411. The reversal of 491319950400 is 4059913194.

491319950400 is a `hidden beast` number, since 4 + 9 + 1 + 3 + 199 + 50 + 400 = 666.

It is a super-2 number, since 2×491319950400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 230557335 + ... + 230559465.

It is an arithmetic number, because the mean of its divisors is an integer number (3600890436).

Almost surely, 2^491319950400 is an apocalyptic number.

491319950400 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 491319950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907424389872).

491319950400 is an abundant number, since it is smaller than the sum of its proper divisors (1323528829344).

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

491319950400 is a wasteful number, since it uses less digits than its factorization.

491319950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 491319950400 in words is "four hundred ninety-one billion, three hundred nineteen million, nine hundred fifty thousand, four hundred".