412400523360 has 384 divisors, whose sum is σ = 1509227596800. Its totient is φ = 92714803200.

The previous prime is 412400523317. The next prime is 412400523373. The reversal of 412400523360 is 63325004214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50903310 + ... + 50911410.

It is an arithmetic number, because the mean of its divisors is an integer number (3930280200).

Almost surely, 2^412400523360 is an apocalyptic number.

412400523360 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 412400523360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754613798400).

412400523360 is an abundant number, since it is smaller than the sum of its proper divisors (1096827073440).

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

412400523360 is a wasteful number, since it uses less digits than its factorization.

412400523360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8374 (or 8366 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 412400523360 its reverse (63325004214), we get a palindrome (475725527574).

The spelling of 412400523360 in words is "four hundred twelve billion, four hundred million, five hundred twenty-three thousand, three hundred sixty".