425201441742 has 384 divisors, whose sum is σ = 1221805670400. Its totient is φ = 107239049280.

The previous prime is 425201441737. The next prime is 425201441767. The reversal of 425201441742 is 247144102524.

425201441742 is a `hidden beast` number, since 4 + 2 + 5 + 201 + 441 + 7 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 425201441697 and 425201441706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 298805643 + ... + 298807065.

It is an arithmetic number, because the mean of its divisors is an integer number (3181785600).

Almost surely, 2^425201441742 is an apocalyptic number.

425201441742 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 425201441742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610902835200).

425201441742 is an abundant number, since it is smaller than the sum of its proper divisors (796604228658).

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

425201441742 is a wasteful number, since it uses less digits than its factorization.

425201441742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 425201441742 in words is "four hundred twenty-five billion, two hundred one million, four hundred forty-one thousand, seven hundred forty-two".