249091398400 has 1296 divisors, whose sum is σ = 801488701440. Its totient is φ = 75910348800.

The previous prime is 249091398371. The next prime is 249091398427. The reversal of 249091398400 is 4893190942.

It is a super-4 number, since 4×249091398400⁴ (a number of 47 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8035206385 + ... + 8035206415.

It is an arithmetic number, because the mean of its divisors is an integer number (618432640).

Almost surely, 2^249091398400 is an apocalyptic number.

249091398400 is a gapful number since it is divisible by the number (20) 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 249091398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400744350720).

249091398400 is an abundant number, since it is smaller than the sum of its proper divisors (552397303040).

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

249091398400 is a wasteful number, since it uses less digits than its factorization.

249091398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 249091398400 in words is "two hundred forty-nine billion, ninety-one million, three hundred ninety-eight thousand, four hundred".