40434403340240 has 320 divisors, whose sum is σ = 116885184869376. Its totient is φ = 12666872365056.

The previous prime is 40434403340203. The next prime is 40434403340249. The reversal of 40434403340240 is 4204330443404.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 40434403340240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40434403340249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 300531224 + ... + 300665736.

Almost surely, 2^{40434403340240} is an apocalyptic number.

40434403340240 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 40434403340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58442592434688).

40434403340240 is an abundant number, since it is smaller than the sum of its proper divisors (76450781529136).

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

40434403340240 is a wasteful number, since it uses less digits than its factorization.

40434403340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134966 (or 134960 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 35.

Adding to 40434403340240 its reverse (4204330443404), we get a palindrome (44638733783644).

The spelling of 40434403340240 in words is "forty trillion, four hundred thirty-four billion, four hundred three million, three hundred forty thousand, two hundred forty".