461367247440 has 320 divisors, whose sum is σ = 1605284969472. Its totient is φ = 108664934400.

The previous prime is 461367247417. The next prime is 461367247459. The reversal of 461367247440 is 44742763164.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 461367247440.

It is a congruent number.

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, 12894375 + ... + 12930105.

Almost surely, 2^461367247440 is an apocalyptic number.

461367247440 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 461367247440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802642484736).

461367247440 is an abundant number, since it is smaller than the sum of its proper divisors (1143917722032).

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

461367247440 is a wasteful number, since it uses less digits than its factorization.

461367247440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35898 (or 35892 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 48.

It can be divided in two parts, 46136724 and 7440, that added together give a palindrome (46144164).

The spelling of 461367247440 in words is "four hundred sixty-one billion, three hundred sixty-seven million, two hundred forty-seven thousand, four hundred forty".