42001512 has 128 divisors (see below), whose sum is σ = 128044800. Its totient is φ = 11225088.

The previous prime is 42001511. The next prime is 42001517. The reversal of 42001512 is 21510024.

It is a super-2 number, since 2×42001512² = 3528254020572288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42001491 and 42001500.

It is not an unprimeable number, because it can be changed into a prime (42001511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180148 + ... + 180380.

It is an arithmetic number, because the mean of its divisors is an integer number (1000350).

Almost surely, 2^42001512 is an apocalyptic number.

42001512 is a gapful number since it is divisible by the number (42) 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 42001512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64022400).

42001512 is an abundant number, since it is smaller than the sum of its proper divisors (86043288).

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

42001512 is a wasteful number, since it uses less digits than its factorization.

42001512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 42001512 is about 6480.8573506906. The cubic root of 42001512 is about 347.6068356706.

Adding to 42001512 its reverse (21510024), we get a palindrome (63511536).

It can be divided in two parts, 4200 and 1512, that multiplied together give a square (6350400 = 2520²).

The spelling of 42001512 in words is "forty-two million, one thousand, five hundred twelve".