4249290240000 has 1040 divisors, whose sum is σ = 16944826544800. Its totient is φ = 1045757952000.

The previous prime is 4249290239993. The next prime is 4249290240001. The reversal of 4249290240000 is 420929424.

4249290240000 is a `hidden beast` number, since 4 + 249 + 2 + 9 + 0 + 2 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4249290240001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 898557636 + ... + 898562364.

Almost surely, 2^{4249290240000} is an apocalyptic number.

4249290240000 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 4249290240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8472413272400).

4249290240000 is an abundant number, since it is smaller than the sum of its proper divisors (12695536304800).

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

4249290240000 is an equidigital number, since it uses as much as digits as its factorization.

4249290240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4795 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4249290240000 in words is "four trillion, two hundred forty-nine billion, two hundred ninety million, two hundred forty thousand".