42925386240000 has 4160 divisors, whose sum is σ = 190355243823360. Its totient is φ = 9555148800000.

The previous prime is 42925386239899. The next prime is 42925386240007. The reversal of 42925386240000 is 4268352924.

42925386240000 is a `hidden beast` number, since 4 + 2 + 9 + 25 + 386 + 240 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42925386240007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1046960639980 + ... + 1046960640020.

Almost surely, 2^{42925386240000} is an apocalyptic number.

42925386240000 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 42925386240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95177621911680).

42925386240000 is an abundant number, since it is smaller than the sum of its proper divisors (147429857583360).

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

42925386240000 is an frugal number, since it uses more digits than its factorization.

42925386240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 42925386240000 in words is "forty-two trillion, nine hundred twenty-five billion, three hundred eighty-six million, two hundred forty thousand".