412621562300640 has 1152 divisors, whose sum is σ = 1772936009155584. Its totient is φ = 78092830310400.

The previous prime is 412621562300603. The next prime is 412621562300653. The reversal of 412621562300640 is 46003265126214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 412621562300592 and 412621562300601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 603473842 + ... + 604157198.

It is an arithmetic number, because the mean of its divisors is an integer number (1539006952392).

Almost surely, 2^{412621562300640} is an apocalyptic number.

412621562300640 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 412621562300640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886468004577792).

412621562300640 is an abundant number, since it is smaller than the sum of its proper divisors (1360314446854944).

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

412621562300640 is a wasteful number, since it uses less digits than its factorization.

412621562300640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683472 (or 683433 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 412621562300640 in words is "four hundred twelve trillion, six hundred twenty-one billion, five hundred sixty-two million, three hundred thousand, six hundred forty".