390210048000 has 780 divisors, whose sum is σ = 1469908795212. Its totient is φ = 102983270400.

The previous prime is 390210047971. The next prime is 390210048017. The reversal of 390210048000 is 840012093.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 145398841344 + 244811206656 = 381312^2 + 494784^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4022783952 + ... + 4022784048.

Almost surely, 2^390210048000 is an apocalyptic number.

390210048000 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 390210048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734954397606).

390210048000 is an abundant number, since it is smaller than the sum of its proper divisors (1079698747212).

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

390210048000 is an frugal number, since it uses more digits than its factorization.

390210048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 390210048000 in words is "three hundred ninety billion, two hundred ten million, forty-eight thousand".