40145865167400 has 96 divisors (see below), whose sum is σ = 125197404978240. Its totient is φ = 10641458844160.

The previous prime is 40145865167399. The next prime is 40145865167467. The reversal of 40145865167400 is 476156854104.

It is a super-2 number, since 2×40145865167400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200228469 + ... + 200428868.

It is an arithmetic number, because the mean of its divisors is an integer number (1304139635190).

Almost surely, 2^{40145865167400} is an apocalyptic number.

40145865167400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40145865167400 is an abundant number, since it is smaller than the sum of its proper divisors (85051539810840).

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

40145865167400 is a wasteful number, since it uses less digits than its factorization.

40145865167400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400657523 (or 400657514 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 40145865167400 in words is "forty trillion, one hundred forty-five billion, eight hundred sixty-five million, one hundred sixty-seven thousand, four hundred".