390090355200 has 1440 divisors, whose sum is σ = 1737624784896. Its totient is φ = 81378017280.

The previous prime is 390090355199. The next prime is 390090355231. The reversal of 390090355200 is 2553090093.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1331366254 + ... + 1331366546.

Almost surely, 2^390090355200 is an apocalyptic number.

390090355200 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 390090355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868812392448).

390090355200 is an abundant number, since it is smaller than the sum of its proper divisors (1347534429696).

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

390090355200 is a wasteful number, since it uses less digits than its factorization.

390090355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The spelling of 390090355200 in words is "three hundred ninety billion, ninety million, three hundred fifty-five thousand, two hundred".