41462178480 has 240 divisors, whose sum is σ = 150729147360. Its totient is φ = 10474458624.

The previous prime is 41462178473. The next prime is 41462178481. The reversal of 41462178480 is 8487126414.

41462178480 is a `hidden beast` number, since 4 + 14 + 621 + 7 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×41462178480² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (41462178481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 753174 + ... + 806346.

It is an arithmetic number, because the mean of its divisors is an integer number (628038114).

Almost surely, 2^41462178480 is an apocalyptic number.

41462178480 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 41462178480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75364573680).

41462178480 is an abundant number, since it is smaller than the sum of its proper divisors (109266968880).

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

41462178480 is a wasteful number, since it uses less digits than its factorization.

41462178480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53233 (or 53202 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 41462178480 in words is "forty-one billion, four hundred sixty-two million, one hundred seventy-eight thousand, four hundred eighty".