403745564160 has 240 divisors, whose sum is σ = 1400510455344. Its totient is φ = 107494096896.

The previous prime is 403745564147. The next prime is 403745564179. The reversal of 403745564160 is 61465547304.

403745564160 is a `hidden beast` number, since 4 + 0 + 3 + 74 + 5 + 564 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14801094 + ... + 14828346.

Almost surely, 2^403745564160 is an apocalyptic number.

403745564160 is a gapful number since it is divisible by the number (40) 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 403745564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700255227672).

403745564160 is an abundant number, since it is smaller than the sum of its proper divisors (996764891184).

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

403745564160 is a wasteful number, since it uses less digits than its factorization.

403745564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27925 (or 27906 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 403745564160 in words is "four hundred three billion, seven hundred forty-five million, five hundred sixty-four thousand, one hundred sixty".