412292089440 has 432 divisors, whose sum is σ = 1767409416864. Its totient is φ = 85670830080.

The previous prime is 412292089439. The next prime is 412292089453. The reversal of 412292089440 is 44980292214.

412292089440 is a `hidden beast` number, since 4 + 122 + 9 + 2 + 0 + 89 + 440 = 666.

412292089440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 1050664 + ... + 1388696.

It is an arithmetic number, because the mean of its divisors is an integer number (4091225502).

Almost surely, 2^412292089440 is an apocalyptic number.

412292089440 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 412292089440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883704708432).

412292089440 is an abundant number, since it is smaller than the sum of its proper divisors (1355117327424).

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

412292089440 is a wasteful number, since it uses less digits than its factorization.

412292089440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338083 (or 338061 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 412292089440 in words is "four hundred twelve billion, two hundred ninety-two million, eighty-nine thousand, four hundred forty".