424420772456142 has 128 divisors (see below), whose sum is σ = 1176022229345280. Its totient is φ = 110226239354880.

The previous prime is 424420772456141. The next prime is 424420772456207. The reversal of 424420772456142 is 241654277024424.

424420772456142 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 2 + 0 + 7 + 72 + 4 + 561 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424420772456141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29518558 + ... + 41475134.

It is an arithmetic number, because the mean of its divisors is an integer number (9187673666760).

Almost surely, 2^{424420772456142} is an apocalyptic number.

424420772456142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 424420772456142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588011114672640).

424420772456142 is an abundant number, since it is smaller than the sum of its proper divisors (751601456889138).

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

424420772456142 is a wasteful number, since it uses less digits than its factorization.

424420772456142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11965143 (or 11965137 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 54.

The spelling of 424420772456142 in words is "four hundred twenty-four trillion, four hundred twenty billion, seven hundred seventy-two million, four hundred fifty-six thousand, one hundred forty-two".