320400149520 has 480 divisors, whose sum is σ = 1125321724800. Its totient is φ = 75318763520.

The previous prime is 320400149519. The next prime is 320400149539. The reversal of 320400149520 is 25941004023.

It is a Cunningham number, because it is equal to 566039²-1.

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 95 ways as a sum of consecutive naturals, for example, 136980511 + ... + 136982849.

It is an arithmetic number, because the mean of its divisors is an integer number (2344420260).

Almost surely, 2^320400149520 is an apocalyptic number.

320400149520 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 320400149520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562660862400).

320400149520 is an abundant number, since it is smaller than the sum of its proper divisors (804921575280).

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

320400149520 is a wasteful number, since it uses less digits than its factorization.

320400149520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 320400149520 in words is "three hundred twenty billion, four hundred million, one hundred forty-nine thousand, five hundred twenty".