42006263040 has 1008 divisors, whose sum is σ = 176940086400. Its totient is φ = 9352101888.

The previous prime is 42006263029. The next prime is 42006263063. The reversal of 42006263040 is 4036260024.

42006263040 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 626 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×42006263040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42006262995 and 42006263013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 385378506 + ... + 385378614.

It is an arithmetic number, because the mean of its divisors is an integer number (175535800).

Almost surely, 2^42006263040 is an apocalyptic number.

42006263040 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 42006263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88470043200).

42006263040 is an abundant number, since it is smaller than the sum of its proper divisors (134933823360).

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

42006263040 is an equidigital number, since it uses as much as digits as its factorization.

42006263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 42006263040 in words is "forty-two billion, six million, two hundred sixty-three thousand, forty".