249666493440 has 2112 divisors, whose sum is σ = 1129079347200. Its totient is φ = 46374322176.

The previous prime is 249666493399. The next prime is 249666493493. The reversal of 249666493440 is 44394666942.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3160335321 + ... + 3160335399.

Almost surely, 2^249666493440 is an apocalyptic number.

249666493440 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 249666493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564539673600).

249666493440 is an abundant number, since it is smaller than the sum of its proper divisors (879412853760).

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

249666493440 is a wasteful number, since it uses less digits than its factorization.

249666493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 57.

The spelling of 249666493440 in words is "two hundred forty-nine billion, six hundred sixty-six million, four hundred ninety-three thousand, four hundred forty".