412735921920 has 972 divisors, whose sum is σ = 1702393691544. Its totient is φ = 92053463040.

The previous prime is 412735921891. The next prime is 412735921943. The reversal of 412735921920 is 29129537214.

412735921920 is a `hidden beast` number, since 4 + 1 + 27 + 3 + 592 + 19 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1246936155 + ... + 1246936485.

Almost surely, 2^412735921920 is an apocalyptic number.

412735921920 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 412735921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851196845772).

412735921920 is an abundant number, since it is smaller than the sum of its proper divisors (1289657769624).

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

412735921920 is a wasteful number, since it uses less digits than its factorization.

412735921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 412735921920 in words is "four hundred twelve billion, seven hundred thirty-five million, nine hundred twenty-one thousand, nine hundred twenty".