42183183517440 has 1728 divisors, whose sum is σ = 173195901720576. Its totient is φ = 8525627523072.

The previous prime is 42183183517403. The next prime is 42183183517477. The reversal of 42183183517440 is 4471538138124.

It is an interprime number because it is at equal distance from previous prime (42183183517403) and next prime (42183183517477).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 36585587904 + ... + 36585589056.

It is an arithmetic number, because the mean of its divisors is an integer number (100229109792).

Almost surely, 2^{42183183517440} is an apocalyptic number.

42183183517440 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 42183183517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86597950860288).

42183183517440 is an abundant number, since it is smaller than the sum of its proper divisors (131012718203136).

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

42183183517440 is a wasteful number, since it uses less digits than its factorization.

42183183517440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 42183183517440 in words is "forty-two trillion, one hundred eighty-three billion, one hundred eighty-three million, five hundred seventeen thousand, four hundred forty".