42136640 has 112 divisors (see below), whose sum is σ = 123578112. Its totient is φ = 13326336.

The previous prime is 42136639. The next prime is 42136651. The reversal of 42136640 is 4663124.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28397 + ... + 29843.

It is an arithmetic number, because the mean of its divisors is an integer number (1103376).

Almost surely, 2^42136640 is an apocalyptic number.

42136640 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 42136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61789056).

42136640 is an abundant number, since it is smaller than the sum of its proper divisors (81441472).

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

42136640 is a wasteful number, since it uses less digits than its factorization.

42136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 42136640 is about 6491.2741430323. The cubic root of 42136640 is about 347.9792122167.

Adding to 42136640 its reverse (4663124), we get a palindrome (46799764).

The spelling of 42136640 in words is "forty-two million, one hundred thirty-six thousand, six hundred forty".