40415412000 has 96 divisors (see below), whose sum is σ = 132400929024. Its totient is φ = 10777440000.

The previous prime is 40415411999. The next prime is 40415412041. The reversal of 40415412000 is 21451404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1671976 + ... + 1695975.

It is an arithmetic number, because the mean of its divisors is an integer number (1379176344).

Almost surely, 2^40415412000 is an apocalyptic number.

40415412000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40415412000 is an abundant number, since it is smaller than the sum of its proper divisors (91985517024).

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

40415412000 is a wasteful number, since it uses less digits than its factorization.

40415412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367979 (or 3367961 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 40415412000 its reverse (21451404), we get a palindrome (40436863404).

The spelling of 40415412000 in words is "forty billion, four hundred fifteen million, four hundred twelve thousand".