42456744301456 has 135 divisors (see below), whose sum is σ = 85737017370963. Its totient is φ = 20367089571840.

The previous prime is 42456744301409. The next prime is 42456744301459. The reversal of 42456744301456 is 65410344765424.

The square root of 42456744301456 is 6515884.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7971474624400 + 34485269677056 = 2823380^2 + 5872416^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42456744301397 and 42456744301406.

It is not an unprimeable number, because it can be changed into a prime (42456744301459) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71596533096 + ... + 71596533688.

Almost surely, 2^{42456744301456} is an apocalyptic number.

42456744301456 is the 6515884-th square number.

It is an amenable number.

42456744301456 is an abundant number, since it is smaller than the sum of its proper divisors (43280273069507).

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

42456744301456 is an frugal number, since it uses more digits than its factorization.

42456744301456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 55.

The spelling of 42456744301456 in words is "forty-two trillion, four hundred fifty-six billion, seven hundred forty-four million, three hundred one thousand, four hundred fifty-six".