42412664448 has 384 divisors, whose sum is σ = 157257072000. Its totient is φ = 11015516160.

The previous prime is 42412664383. The next prime is 42412664513. The reversal of 42412664448 is 84446621424.

42412664448 is a `hidden beast` number, since 4 + 24 + 126 + 64 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (42412664383) and next prime (42412664513).

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2919988 + ... + 2934476.

It is an arithmetic number, because the mean of its divisors is an integer number (409523625).

Almost surely, 2^42412664448 is an apocalyptic number.

42412664448 is a gapful number since it is divisible by the number (48) 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 42412664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78628536000).

42412664448 is an abundant number, since it is smaller than the sum of its proper divisors (114844407552).

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

42412664448 is a wasteful number, since it uses less digits than its factorization.

42412664448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14541 (or 14512 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 45.

The spelling of 42412664448 in words is "forty-two billion, four hundred twelve million, six hundred sixty-four thousand, four hundred forty-eight".