406089288000 has 1120 divisors, whose sum is σ = 1710832451328. Its totient is φ = 94127616000.

The previous prime is 406089287971. The next prime is 406089288001. The reversal of 406089288000 is 882980604.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406089288001) 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, 163942762 + ... + 163945238.

Almost surely, 2^406089288000 is an apocalyptic number.

406089288000 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 406089288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855416225664).

406089288000 is an abundant number, since it is smaller than the sum of its proper divisors (1304743163328).

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

406089288000 is a wasteful number, since it uses less digits than its factorization.

406089288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 406089288000 in words is "four hundred six billion, eighty-nine million, two hundred eighty-eight thousand".