412007539680 has 288 divisors, whose sum is σ = 1539345251808. Its totient is φ = 99518976000.

The previous prime is 412007539607. The next prime is 412007539717. The reversal of 412007539680 is 86935700214.

412007539680 is a `hidden beast` number, since 412 + 0 + 0 + 75 + 3 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 4340730 + ... + 4434630.

It is an arithmetic number, because the mean of its divisors is an integer number (5344948791).

It is a 2-persistent number, because it is pandigital, and so is 2⋅412007539680 = 824015079360, but 3⋅412007539680 = 1236022619040 is not.

Almost surely, 2^412007539680 is an apocalyptic number.

412007539680 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 412007539680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769672625904).

412007539680 is an abundant number, since it is smaller than the sum of its proper divisors (1127337712128).

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

412007539680 is a wasteful number, since it uses less digits than its factorization.

412007539680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94210 (or 94199 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 412007539680 in words is "four hundred twelve billion, seven million, five hundred thirty-nine thousand, six hundred eighty".