42642761040 has 400 divisors, whose sum is σ = 163998521280. Its totient is φ = 10182205440.

The previous prime is 42642761033. The next prime is 42642761069. The reversal of 42642761040 is 4016724624.

42642761040 is a `hidden beast` number, since 4 + 2 + 642 + 7 + 6 + 1 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×42642761040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42642760986 and 42642761004.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 4771296 + ... + 4780224.

Almost surely, 2^42642761040 is an apocalyptic number.

42642761040 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 42642761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81999260640).

42642761040 is an abundant number, since it is smaller than the sum of its proper divisors (121355760240).

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

42642761040 is a wasteful number, since it uses less digits than its factorization.

42642761040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9032 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42642761040 in words is "forty-two billion, six hundred forty-two million, seven hundred sixty-one thousand, forty".