40444220436480 has 832 divisors, whose sum is σ = 164426632012800. Its totient is φ = 9238661038080.

The previous prime is 40444220436463. The next prime is 40444220436491. The reversal of 40444220436480 is 8463402244404.

40444220436480 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 4 + 2 + 204 + 364 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11685701950 + ... + 11685705410.

Almost surely, 2^{40444220436480} is an apocalyptic number.

40444220436480 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 40444220436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82213316006400).

40444220436480 is an abundant number, since it is smaller than the sum of its proper divisors (123982411576320).

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

40444220436480 is a wasteful number, since it uses less digits than its factorization.

40444220436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6525 (or 6497 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 45.

The spelling of 40444220436480 in words is "forty trillion, four hundred forty-four billion, two hundred twenty million, four hundred thirty-six thousand, four hundred eighty".