491942246400 has 1728 divisors, whose sum is σ = 2115188056800. Its totient is φ = 111594700800.

The previous prime is 491942246399. The next prime is 491942246407. The reversal of 491942246400 is 4642249194.

491942246400 is a `hidden beast` number, since 4 + 9 + 19 + 4 + 224 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491942246407) 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, 2843596714 + ... + 2843596886.

Almost surely, 2^491942246400 is an apocalyptic number.

491942246400 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 491942246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057594028400).

491942246400 is an abundant number, since it is smaller than the sum of its proper divisors (1623245810400).

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

491942246400 is a wasteful number, since it uses less digits than its factorization.

491942246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 491942246400 in words is "four hundred ninety-one billion, nine hundred forty-two million, two hundred forty-six thousand, four hundred".