320540477400 has 1728 divisors, whose sum is σ = 1396760601600. Its totient is φ = 64862208000.

The previous prime is 320540477399. The next prime is 320540477441. The reversal of 320540477400 is 4774045023.

320540477400 is a `hidden beast` number, since 3 + 2 + 0 + 540 + 4 + 77 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2306046531 + ... + 2306046669.

Almost surely, 2^320540477400 is an apocalyptic number.

320540477400 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 320540477400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698380300800).

320540477400 is an abundant number, since it is smaller than the sum of its proper divisors (1076220124200).

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

320540477400 is a wasteful number, since it uses less digits than its factorization.

320540477400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 320540477400 in words is "three hundred twenty billion, five hundred forty million, four hundred seventy-seven thousand, four hundred".