40424435040 has 288 divisors, whose sum is σ = 141951253248. Its totient is φ = 9660851200.

The previous prime is 40424435033. The next prime is 40424435069. The reversal of 40424435040 is 4053442404.

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 = 40424434989 and 40424435007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4118779 + ... + 4128581.

It is an arithmetic number, because the mean of its divisors is an integer number (492886296).

Almost surely, 2^40424435040 is an apocalyptic number.

40424435040 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 40424435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70975626624).

40424435040 is an abundant number, since it is smaller than the sum of its proper divisors (101526818208).

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

40424435040 is a wasteful number, since it uses less digits than its factorization.

40424435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9914 (or 9895 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 40424435040 its reverse (4053442404), we get a palindrome (44477877444).

The spelling of 40424435040 in words is "forty billion, four hundred twenty-four million, four hundred thirty-five thousand, forty".