412400626560 has 1152 divisors, whose sum is σ = 1645531524000. Its totient is φ = 98107490304.

The previous prime is 412400626543. The next prime is 412400626567. The reversal of 412400626560 is 65626004214.

412400626560 is a `hidden beast` number, since 4 + 1 + 24 + 0 + 0 + 626 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412400626567) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2767789366 + ... + 2767789514.

Almost surely, 2^412400626560 is an apocalyptic number.

412400626560 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 412400626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822765762000).

412400626560 is an abundant number, since it is smaller than the sum of its proper divisors (1233130897440).

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

412400626560 is a wasteful number, since it uses less digits than its factorization.

412400626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 412400626560 in words is "four hundred twelve billion, four hundred million, six hundred twenty-six thousand, five hundred sixty".