40412145125000 has 448 divisors, whose sum is σ = 106510261651200. Its totient is φ = 14248224000000.

The previous prime is 40412145124999. The next prime is 40412145125087. The reversal of 40412145125000 is 52154121404.

It is a happy number.

It is a super-2 number, since 2×40412145125000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7044122132 + ... + 7044127868.

Almost surely, 2^{40412145125000} is an apocalyptic number.

40412145125000 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 40412145125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53255130825600).

40412145125000 is an abundant number, since it is smaller than the sum of its proper divisors (66098116526200).

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

40412145125000 is a wasteful number, since it uses less digits than its factorization.

40412145125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5940 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 40412145125000 its reverse (52154121404), we get a palindrome (40464299246404).

The spelling of 40412145125000 in words is "forty trillion, four hundred twelve billion, one hundred forty-five million, one hundred twenty-five thousand".