249452421120 has 1120 divisors, whose sum is σ = 1068752475648. Its totient is φ = 54421880832.

The previous prime is 249452421107. The next prime is 249452421187. The reversal of 249452421120 is 21124254942.

249452421120 is a `hidden beast` number, since 2 + 4 + 9 + 4 + 524 + 2 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-3 number, since 3×249452421120³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 534159127 + ... + 534159593.

Almost surely, 2^249452421120 is an apocalyptic number.

249452421120 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 249452421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534376237824).

249452421120 is an abundant number, since it is smaller than the sum of its proper divisors (819300054528).

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

249452421120 is an equidigital number, since it uses as much as digits as its factorization.

249452421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 249452421120 in words is "two hundred forty-nine billion, four hundred fifty-two million, four hundred twenty-one thousand, one hundred twenty".