42380801648640 has 2400 divisors, whose sum is σ = 190961390660040. Its totient is φ = 8936421064704.

The previous prime is 42380801648639. The next prime is 42380801648677. The reversal of 42380801648640 is 4684610808324.

It is a happy number.

42380801648640 is a `hidden beast` number, since 4 + 2 + 3 + 80 + 80 + 1 + 6 + 486 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13774905639936 + 28605896008704 = 3711456^2 + 5348448^2 .

It is a super-2 number, since 2×42380801648640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 25889309902 + ... + 25889311538.

Almost surely, 2^{42380801648640} is an apocalyptic number.

42380801648640 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 42380801648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95480695330020).

42380801648640 is an abundant number, since it is smaller than the sum of its proper divisors (148580589011400).

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

42380801648640 is an equidigital number, since it uses as much as digits as its factorization.

42380801648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 42380801648640 in words is "forty-two trillion, three hundred eighty billion, eight hundred one million, six hundred forty-eight thousand, six hundred forty".