40300011048960 has 1404 divisors, whose sum is σ = 154039671208332. Its totient is φ = 9740325224448.

The previous prime is 40300011048931. The next prime is 40300011049009. The reversal of 40300011048960 is 6984011000304.

40300011048960 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 0 + 0 + 110 + 489 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20242224746496 + 20057786302464 = 4499136^2 + 4478592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 107 ways as a sum of consecutive naturals, for example, 356637265864 + ... + 356637265976.

It is an arithmetic number, because the mean of its divisors is an integer number (109714865533).

Almost surely, 2^{40300011048960} is an apocalyptic number.

40300011048960 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 40300011048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77019835604166).

40300011048960 is an abundant number, since it is smaller than the sum of its proper divisors (113739660159372).

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

40300011048960 is a wasteful number, since it uses less digits than its factorization.

40300011048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 40300011048960 in words is "forty trillion, three hundred billion, eleven million, forty-eight thousand, nine hundred sixty".