8415954540 has 192 divisors, whose sum is σ = 29964856320. Its totient is φ = 1920983040.

The previous prime is 8415954527. The next prime is 8415954551. The reversal of 8415954540 is 454595148.

8415954540 is a `hidden beast` number, since 8 + 4 + 1 + 59 + 54 + 540 = 666.

It is a super-2 number, since 2×8415954540² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4357375 + ... + 4359305.

It is an arithmetic number, because the mean of its divisors is an integer number (156066960).

Almost surely, 2^8415954540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8415954540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14982428160).

8415954540 is an abundant number, since it is smaller than the sum of its proper divisors (21548901780).

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

8415954540 is a wasteful number, since it uses less digits than its factorization.

8415954540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 8415954540 is about 91738.5117603289. The cubic root of 8415954540 is about 2034.0788946173.

The spelling of 8415954540 in words is "eight billion, four hundred fifteen million, nine hundred fifty-four thousand, five hundred forty".