412255733760 has 1440 divisors, whose sum is σ = 1703975593320. Its totient is φ = 94956945408.

The previous prime is 412255733759. The next prime is 412255733761. The reversal of 412255733760 is 67337552214.

412255733760 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 5 + 573 + 3 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (412255733759) and next prime (412255733761).

It can be written as a sum of positive squares in 12 ways, for example, as 40526521344 + 371729212416 = 201312^2 + 609696^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (412255733761) 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 119 ways as a sum of consecutive naturals, for example, 2382981034 + ... + 2382981206.

Almost surely, 2^412255733760 is an apocalyptic number.

412255733760 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 412255733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851987796660).

412255733760 is an abundant number, since it is smaller than the sum of its proper divisors (1291719859560).

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

412255733760 is a wasteful number, since it uses less digits than its factorization.

412255733760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 412255733760 in words is "four hundred twelve billion, two hundred fifty-five million, seven hundred thirty-three thousand, seven hundred sixty".