415010151252000 has 144 divisors (see below), whose sum is σ = 1472871026921112. Its totient is φ = 110669373657600.

The previous prime is 415010151251981. The next prime is 415010151252007. The reversal of 415010151252000 is 252151010514.

It is a happy number.

415010151252000 is a `hidden beast` number, since 4 + 1 + 501 + 0 + 15 + 125 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 243540868793616 + 171469282458384 = 15605796^2 + 13094628^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (415010151252007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5763993879 + ... + 5764065878.

Almost surely, 2^{415010151252000} is an apocalyptic number.

415010151252000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415010151252000 is an abundant number, since it is smaller than the sum of its proper divisors (1057860875669112).

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

415010151252000 is a wasteful number, since it uses less digits than its factorization.

415010151252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11528059788 (or 11528059767 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 415010151252000 in words is "four hundred fifteen trillion, ten billion, one hundred fifty-one million, two hundred fifty-two thousand".