425052442938240 has 1536 divisors, whose sum is σ = 1740083975884800. Its totient is φ = 94610305843200.

The previous prime is 425052442938169. The next prime is 425052442938241. The reversal of 425052442938240 is 42839244250524.

425052442938240 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 524 + 4 + 2 + 93 + 8 + 24 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425052442938241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5485145895 + ... + 5485223385.

It is an arithmetic number, because the mean of its divisors is an integer number (1132867171800).

Almost surely, 2^{425052442938240} is an apocalyptic number.

425052442938240 is a gapful number since it is divisible by the number (40) 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 425052442938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870041987942400).

425052442938240 is an abundant number, since it is smaller than the sum of its proper divisors (1315031532946560).

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

425052442938240 is a wasteful number, since it uses less digits than its factorization.

425052442938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77716 (or 77701 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 425052442938240 in words is "four hundred twenty-five trillion, fifty-two billion, four hundred forty-two million, nine hundred thirty-eight thousand, two hundred forty".