244916405360640 has 480 divisors, whose sum is σ = 945383744345040. Its totient is φ = 60287112511488.

The previous prime is 244916405360623. The next prime is 244916405360657. The reversal of 244916405360640 is 46063504619442.

244916405360640 is a `hidden beast` number, since 2 + 4 + 4 + 9 + 1 + 6 + 40 + 536 + 0 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (244916405360623) and next prime (244916405360657).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×244916405360640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 574174 + ... + 22139613.

Almost surely, 2^{244916405360640} is an apocalyptic number.

244916405360640 is a gapful number since it is divisible by the number (20) 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 244916405360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472691872172520).

244916405360640 is an abundant number, since it is smaller than the sum of its proper divisors (700467338984400).

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

244916405360640 is a wasteful number, since it uses less digits than its factorization.

244916405360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22713839 (or 22713810 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 244916405360640 in words is "two hundred forty-four trillion, nine hundred sixteen billion, four hundred five million, three hundred sixty thousand, six hundred forty".