42925395640320 has 1024 divisors, whose sum is σ = 162300856291200. Its totient is φ = 10726680821760.

The previous prime is 42925395640307. The next prime is 42925395640321. The reversal of 42925395640320 is 2304659352924.

It is a happy number.

42925395640320 is a `hidden beast` number, since 4 + 2 + 9 + 2 + 53 + 9 + 564 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 (42925395640321) 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, 19327056810 + ... + 19327059030.

Almost surely, 2^{42925395640320} is an apocalyptic number.

42925395640320 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 42925395640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81150428145600).

42925395640320 is an abundant number, since it is smaller than the sum of its proper divisors (119375460650880).

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

42925395640320 is a wasteful number, since it uses less digits than its factorization.

42925395640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 42925395640320 in words is "forty-two trillion, nine hundred twenty-five billion, three hundred ninety-five million, six hundred forty thousand, three hundred twenty".