4298145593040 has 800 divisors, whose sum is σ = 16694914790400. Its totient is φ = 1023770741760.

The previous prime is 4298145593011. The next prime is 4298145593081. The reversal of 4298145593040 is 403955418924.

It is a happy number.

4298145593040 is a `hidden beast` number, since 4 + 2 + 9 + 8 + 1 + 4 + 5 + 593 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 441328491 + ... + 441338229.

It is an arithmetic number, because the mean of its divisors is an integer number (20868643488).

Almost surely, 2^{4298145593040} is an apocalyptic number.

4298145593040 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 4298145593040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347457395200).

4298145593040 is an abundant number, since it is smaller than the sum of its proper divisors (12396769197360).

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

4298145593040 is a wasteful number, since it uses less digits than its factorization.

4298145593040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9834 (or 9793 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 4298145593040 in words is "four trillion, two hundred ninety-eight billion, one hundred forty-five million, five hundred ninety-three thousand, forty".