4421430400464 has 480 divisors, whose sum is σ = 16115952513024. Its totient is φ = 1097260369920.

The previous prime is 4421430400463. The next prime is 4421430400481. The reversal of 4421430400464 is 4640040341244.

4421430400464 is a `hidden beast` number, since 4 + 4 + 214 + 30 + 400 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×4421430400464² (a number of 26 digits) contains 22 as substring.

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 (4421430400463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238948237 + ... + 238966739.

Almost surely, 2^{4421430400464} is an apocalyptic number.

4421430400464 is a gapful number since it is divisible by the number (44) 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 4421430400464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057976256512).

4421430400464 is an abundant number, since it is smaller than the sum of its proper divisors (11694522112560).

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

4421430400464 is a wasteful number, since it uses less digits than its factorization.

4421430400464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19495 (or 19486 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 4421430400464 in words is "four trillion, four hundred twenty-one billion, four hundred thirty million, four hundred thousand, four hundred sixty-four".