40244411007540 has 240 divisors, whose sum is σ = 126452963875392. Its totient is φ = 10714448876544.

The previous prime is 40244411007539. The next prime is 40244411007547. The reversal of 40244411007540 is 4570011444204.

40244411007540 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 4 + 4 + 1 + 100 + 7 + 540 = 666.

It is a super-2 number, since 2×40244411007540² (a number of 28 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 = 40244411007495 and 40244411007504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40244411007547) 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 79 ways as a sum of consecutive naturals, for example, 4438554087 + ... + 4438563153.

Almost surely, 2^{40244411007540} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40244411007540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63226481937696).

40244411007540 is an abundant number, since it is smaller than the sum of its proper divisors (86208552867852).

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

40244411007540 is a wasteful number, since it uses less digits than its factorization.

40244411007540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13228 (or 13217 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 40244411007540 in words is "forty trillion, two hundred forty-four billion, four hundred eleven million, seven thousand, five hundred forty".