8415901440 has 216 divisors, whose sum is σ = 29319544800. Its totient is φ = 2228723712.

The previous prime is 8415901427. The next prime is 8415901441. The reversal of 8415901440 is 441095148.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8415901395 and 8415901404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8415901441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1714029 + ... + 1718931.

Almost surely, 2^8415901440 is an apocalyptic number.

8415901440 is a gapful number since it is divisible by the number (80) 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 8415901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14659772400).

8415901440 is an abundant number, since it is smaller than the sum of its proper divisors (20903643360).

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

8415901440 is a wasteful number, since it uses less digits than its factorization.

8415901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8415901440 is about 91738.2223503377. Note that the first 3 decimals coincide. The cubic root of 8415901440 is about 2034.0746166389.

Adding to 8415901440 its reverse (441095148), we get a palindrome (8856996588).

The spelling of 8415901440 in words is "eight billion, four hundred fifteen million, nine hundred one thousand, four hundred forty".