42400400240 has 80 divisors (see below), whose sum is σ = 107707008096. Its totient is φ = 15394790400.

The previous prime is 42400400191. The next prime is 42400400279. The reversal of 42400400240 is 4200400424.

42400400240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 545234 + ... + 618126.

Almost surely, 2^42400400240 is an apocalyptic number.

42400400240 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 42400400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53853504048).

42400400240 is an abundant number, since it is smaller than the sum of its proper divisors (65306607856).

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

42400400240 is a wasteful number, since it uses less digits than its factorization.

42400400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73578 (or 73572 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 42400400240 its reverse (4200400424), we get a palindrome (46600800664).

The spelling of 42400400240 in words is "forty-two billion, four hundred million, four hundred thousand, two hundred forty".