405639300000 has 288 divisors, whose sum is σ = 1451923195968. Its totient is φ = 98336000000.

The previous prime is 405639299953. The next prime is 405639300029. The reversal of 405639300000 is 3936504.

It is a happy number.

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

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, 3238540 + ... + 3361460.

It is an arithmetic number, because the mean of its divisors is an integer number (5041399986).

Almost surely, 2^405639300000 is an apocalyptic number.

405639300000 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 405639300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725961597984).

405639300000 is an abundant number, since it is smaller than the sum of its proper divisors (1046283895968).

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

405639300000 is a wasteful number, since it uses less digits than its factorization.

405639300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122970 (or 122942 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The spelling of 405639300000 in words is "four hundred five billion, six hundred thirty-nine million, three hundred thousand".