40163732048520 has 192 divisors, whose sum is σ = 130932608526720. Its totient is φ = 10677518641152.

The previous prime is 40163732048519. The next prime is 40163732048549. The reversal of 40163732048520 is 2584023736104.

40163732048520 is a `hidden beast` number, since 4 + 0 + 1 + 63 + 7 + 3 + 20 + 48 + 520 = 666.

It is a super-2 number, since 2×40163732048520² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155070567 + ... + 155329353.

It is an arithmetic number, because the mean of its divisors is an integer number (681940669410).

Almost surely, 2^{40163732048520} is an apocalyptic number.

40163732048520 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 40163732048520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65466304263360).

40163732048520 is an abundant number, since it is smaller than the sum of its proper divisors (90768876478200).

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

40163732048520 is a wasteful number, since it uses less digits than its factorization.

40163732048520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260124 (or 260117 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 40163732048520 in words is "forty trillion, one hundred sixty-three billion, seven hundred thirty-two million, forty-eight thousand, five hundred twenty".