42606590120640 has 3360 divisors, whose sum is σ = 197281064090880. Its totient is φ = 8644352016384.

The previous prime is 42606590120597. The next prime is 42606590120659. The reversal of 42606590120640 is 4602109560624.

42606590120640 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 6 + 590 + 12 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 59258122201 + ... + 59258122919.

It is an arithmetic number, because the mean of its divisors is an integer number (58714602408).

Almost surely, 2^{42606590120640} is an apocalyptic number.

42606590120640 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 42606590120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98640532045440).

42606590120640 is an abundant number, since it is smaller than the sum of its proper divisors (154674473970240).

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

42606590120640 is a wasteful number, since it uses less digits than its factorization.

42606590120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 42606590120640 in words is "forty-two trillion, six hundred six billion, five hundred ninety million, one hundred twenty thousand, six hundred forty".