40336162812960 has 384 divisors, whose sum is σ = 148273938215424. Its totient is φ = 9027014492160.

The previous prime is 40336162812949. The next prime is 40336162812971. The reversal of 40336162812960 is 6921826163304.

It is an interprime number because it is at equal distance from previous prime (40336162812949) and next prime (40336162812971).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 33003180 + ... + 34203540.

It is an arithmetic number, because the mean of its divisors is an integer number (386130047436).

Almost surely, 2^{40336162812960} is an apocalyptic number.

40336162812960 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 40336162812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74136969107712).

40336162812960 is an abundant number, since it is smaller than the sum of its proper divisors (107937775402464).

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

40336162812960 is a wasteful number, since it uses less digits than its factorization.

40336162812960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200596 (or 1200588 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 40336162812960 in words is "forty trillion, three hundred thirty-six billion, one hundred sixty-two million, eight hundred twelve thousand, nine hundred sixty".