412125453401310 has 768 divisors, whose sum is σ = 1271296248348672. Its totient is φ = 95086197043200.

The previous prime is 412125453401281. The next prime is 412125453401353. The reversal of 412125453401310 is 13104354521214.

412125453401310 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 254 + 53 + 40 + 1 + 310 = 666.

It is a super-2 number, since 2×412125453401310² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 113501913195 + ... + 113501916825.

It is an arithmetic number, because the mean of its divisors is an integer number (1655333656704).

Almost surely, 2^{412125453401310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412125453401310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635648124174336).

412125453401310 is an abundant number, since it is smaller than the sum of its proper divisors (859170794947362).

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

412125453401310 is a wasteful number, since it uses less digits than its factorization.

412125453401310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 412125453401310 in words is "four hundred twelve trillion, one hundred twenty-five billion, four hundred fifty-three million, four hundred one thousand, three hundred ten".