845940488400 has 2400 divisors, whose sum is σ = 3953658556800. Its totient is φ = 170698752000.

The previous prime is 845940488377. The next prime is 845940488441. The reversal of 845940488400 is 4884049548.

It is a happy number.

845940488400 is a `hidden beast` number, since 8 + 4 + 594 + 0 + 4 + 8 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 8375648350 + ... + 8375648450.

It is an arithmetic number, because the mean of its divisors is an integer number (1647357732).

Almost surely, 2^845940488400 is an apocalyptic number.

845940488400 is a gapful number since it is divisible by the number (80) 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 845940488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976829278400).

845940488400 is an abundant number, since it is smaller than the sum of its proper divisors (3107718068400).

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

845940488400 is a wasteful number, since it uses less digits than its factorization.

845940488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 845940488400 in words is "eight hundred forty-five billion, nine hundred forty million, four hundred eighty-eight thousand, four hundred".