4290422225760 has 384 divisors, whose sum is σ = 16910057041920. Its totient is φ = 1006550323200.

The previous prime is 4290422225759. The next prime is 4290422225833. The reversal of 4290422225760 is 675222240924.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16884 + ... + 2929356.

It is an arithmetic number, because the mean of its divisors is an integer number (44036606880).

Almost surely, 2^{4290422225760} is an apocalyptic number.

4290422225760 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 4290422225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8455028520960).

4290422225760 is an abundant number, since it is smaller than the sum of its proper divisors (12619634816160).

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

4290422225760 is a wasteful number, since it uses less digits than its factorization.

4290422225760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912539 (or 2912525 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4290422225760 in words is "four trillion, two hundred ninety billion, four hundred twenty-two million, two hundred twenty-five thousand, seven hundred sixty".