40501417440 has 384 divisors, whose sum is σ = 148777026048. Its totient is φ = 9152430080.

The previous prime is 40501417427. The next prime is 40501417459. The reversal of 40501417440 is 4471410504.

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 = 40501417398 and 40501417407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9602212 + ... + 9606428.

It is an arithmetic number, because the mean of its divisors is an integer number (387440172).

Almost surely, 2^40501417440 is an apocalyptic number.

40501417440 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 40501417440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74388513024).

40501417440 is an abundant number, since it is smaller than the sum of its proper divisors (108275608608).

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

40501417440 is a wasteful number, since it uses less digits than its factorization.

40501417440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

Adding to 40501417440 its reverse (4471410504), we get a palindrome (44972827944).

The spelling of 40501417440 in words is "forty billion, five hundred one million, four hundred seventeen thousand, four hundred forty".