40473185127840 has 576 divisors, whose sum is σ = 143859013998336. Its totient is φ = 10352776790016.

The previous prime is 40473185127839. The next prime is 40473185127841. The reversal of 40473185127840 is 4872158137404.

40473185127840 is a `hidden beast` number, since 4 + 0 + 4 + 7 + 3 + 18 + 512 + 78 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (40473185127839) and next prime (40473185127841).

It is not an unprimeable number, because it can be changed into a prime (40473185127841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2153621484 + ... + 2153640276.

It is an arithmetic number, because the mean of its divisors is an integer number (249755232636).

Almost surely, 2^{40473185127840} is an apocalyptic number.

40473185127840 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 40473185127840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71929506999168).

40473185127840 is an abundant number, since it is smaller than the sum of its proper divisors (103385828870496).

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

40473185127840 is a wasteful number, since it uses less digits than its factorization.

40473185127840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19421 (or 19410 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 40473185127840 in words is "forty trillion, four hundred seventy-three billion, one hundred eighty-five million, one hundred twenty-seven thousand, eight hundred forty".