42053503440 has 160 divisors (see below), whose sum is σ = 140472259200. Its totient is φ = 10345863168.

The previous prime is 42053503399. The next prime is 42053503441. The reversal of 42053503440 is 4430535024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42053503398 and 42053503407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42053503441) 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, 9242286 + ... + 9246834.

It is an arithmetic number, because the mean of its divisors is an integer number (877951620).

Almost surely, 2^42053503440 is an apocalyptic number.

42053503440 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 42053503440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70236129600).

42053503440 is an abundant number, since it is smaller than the sum of its proper divisors (98418755760).

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

42053503440 is a wasteful number, since it uses less digits than its factorization.

42053503440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7541 (or 7535 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 42053503440 in words is "forty-two billion, fifty-three million, five hundred three thousand, four hundred forty".