42491463456 has 96 divisors (see below), whose sum is σ = 120170736000. Its totient is φ = 13068785664.

The previous prime is 42491463451. The next prime is 42491463479. The reversal of 42491463456 is 65436419424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (42491463451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3737076 + ... + 3748428.

It is an arithmetic number, because the mean of its divisors is an integer number (1251778500).

Almost surely, 2^42491463456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42491463456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60085368000).

42491463456 is an abundant number, since it is smaller than the sum of its proper divisors (77679272544).

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

42491463456 is a wasteful number, since it uses less digits than its factorization.

42491463456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14378 (or 14370 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The spelling of 42491463456 in words is "forty-two billion, four hundred ninety-one million, four hundred sixty-three thousand, four hundred fifty-six".