4045423418190 has 1280 divisors, whose sum is σ = 14601200486400. Its totient is φ = 784933079040.

The previous prime is 4045423418177. The next prime is 4045423418203. The reversal of 4045423418190 is 918143245404.

4045423418190 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 42 + 3 + 418 + 190 = 666.

It is an interprime number because it is at equal distance from previous prime (4045423418177) and next prime (4045423418203).

It is a super-2 number, since 2×4045423418190² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 12761587912 + ... + 12761588228.

It is an arithmetic number, because the mean of its divisors is an integer number (11407187880).

Almost surely, 2^{4045423418190} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4045423418190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7300600243200).

4045423418190 is an abundant number, since it is smaller than the sum of its proper divisors (10555777068210).

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

4045423418190 is a wasteful number, since it uses less digits than its factorization.

4045423418190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4045423418190 in words is "four trillion, forty-five billion, four hundred twenty-three million, four hundred eighteen thousand, one hundred ninety".