42509270240640 has 1792 divisors, whose sum is σ = 179389892880000. Its totient is φ = 9623312842752.

The previous prime is 42509270240627. The next prime is 42509270240651. The reversal of 42509270240640 is 4604207290524.

42509270240640 is a `hidden beast` number, since 4 + 2 + 50 + 92 + 70 + 2 + 406 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 17443277502 + ... + 17443279938.

Almost surely, 2^{42509270240640} is an apocalyptic number.

42509270240640 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 42509270240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89694946440000).

42509270240640 is an abundant number, since it is smaller than the sum of its proper divisors (136880622639360).

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

42509270240640 is an equidigital number, since it uses as much as digits as its factorization.

42509270240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 42509270240640 in words is "forty-two trillion, five hundred nine billion, two hundred seventy million, two hundred forty thousand, six hundred forty".