42511392 has 288 divisors, whose sum is σ = 158505984. Its totient is φ = 10886400.

The previous prime is 42511387. The next prime is 42511397. The reversal of 42511392 is 29311524.

It is an interprime number because it is at equal distance from previous prime (42511387) and next prime (42511397).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (42511397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598717 + ... + 598787.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 2^42511392 is an apocalyptic number.

42511392 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 42511392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992).

42511392 is an abundant number, since it is smaller than the sum of its proper divisors (115994592).

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

42511392 is a wasteful number, since it uses less digits than its factorization.

42511392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 42511392 is about 6520.0760731758. The cubic root of 42511392 is about 349.0077802772.

The spelling of 42511392 in words is "forty-two million, five hundred eleven thousand, three hundred ninety-two".