412889378813640 has 640 divisors, whose sum is σ = 1478949353481600. Its totient is φ = 103014397624320.

The previous prime is 412889378813609. The next prime is 412889378813663. The reversal of 412889378813640 is 46318873988214.

It is a happy number.

412889378813640 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 89 + 378 + 8 + 136 + 40 = 666.

It is a super-2 number, since 2×412889378813640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15537915394 + ... + 15537941966.

It is an arithmetic number, because the mean of its divisors is an integer number (2310858364815).

Almost surely, 2^{412889378813640} is an apocalyptic number.

412889378813640 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 412889378813640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739474676740800).

412889378813640 is an abundant number, since it is smaller than the sum of its proper divisors (1066059974667960).

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

412889378813640 is a wasteful number, since it uses less digits than its factorization.

412889378813640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29739 (or 29726 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 412889378813640 in words is "four hundred twelve trillion, eight hundred eighty-nine billion, three hundred seventy-eight million, eight hundred thirteen thousand, six hundred forty".