390429000477000 has 640 divisors, whose sum is σ = 1372564357164000. Its totient is φ = 103520083968000.

The previous prime is 390429000476987. The next prime is 390429000477011. The reversal of 390429000477000 is 774000924093.

390429000477000 is a `hidden beast` number, since 3 + 90 + 4 + 2 + 90 + 0 + 0 + 477 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 115365515015556 + 275063485461444 = 10740834^2 + 16585038^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35658867526 + ... + 35658878474.

Almost surely, 2^{390429000477000} is an apocalyptic number.

390429000477000 is a gapful number since it is divisible by the number (30) 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 390429000477000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686282178582000).

390429000477000 is an abundant number, since it is smaller than the sum of its proper divisors (982135356687000).

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

390429000477000 is a wasteful number, since it uses less digits than its factorization.

390429000477000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13456 (or 13433 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 390429000477000 in words is "three hundred ninety trillion, four hundred twenty-nine billion, four hundred seventy-seven thousand".