8414461440 has 1600 divisors, whose sum is σ = 41068228608. Its totient is φ = 1592524800.

The previous prime is 8414461439. The next prime is 8414461441. The reversal of 8414461440 is 441644148.

It is an interprime number because it is at equal distance from previous prime (8414461439) and next prime (8414461441).

It is a super-2 number, since 2×8414461440² (a number of 21 digits) contains 22 as substring.

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 = 8414461395 and 8414461404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8414461441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 271434225 + ... + 271434255.

Almost surely, 2^8414461440 is an apocalyptic number.

8414461440 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 8414461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534114304).

8414461440 is an abundant number, since it is smaller than the sum of its proper divisors (32653767168).

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

8414461440 is a wasteful number, since it uses less digits than its factorization.

8414461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 8414461440 is about 91730.3735956635. The cubic root of 8414461440 is about 2033.9585968026.

The spelling of 8414461440 in words is "eight billion, four hundred fourteen million, four hundred sixty-one thousand, four hundred forty".