405627264000 has 1760 divisors, whose sum is σ = 1810167929856. Its totient is φ = 88683724800.

The previous prime is 405627263983. The next prime is 405627264001. The reversal of 405627264000 is 462726504.

405627264000 is a `hidden beast` number, since 4 + 0 + 5 + 6 + 2 + 7 + 2 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405627264001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17635967989 + ... + 17635968011.

Almost surely, 2^405627264000 is an apocalyptic number.

405627264000 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 405627264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905083964928).

405627264000 is an abundant number, since it is smaller than the sum of its proper divisors (1404540665856).

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

405627264000 is an frugal number, since it uses more digits than its factorization.

405627264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 405627264000 in words is "four hundred five billion, six hundred twenty-seven million, two hundred sixty-four thousand".