400775326560 has 864 divisors, whose sum is σ = 1660087420992. Its totient is φ = 86235217920.

The previous prime is 400775326559. The next prime is 400775326561. The reversal of 400775326560 is 65623577004.

400775326560 is a `hidden beast` number, since 40 + 0 + 77 + 532 + 6 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (400775326559) and next prime (400775326561).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400775326561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 876969852 + ... + 876970308.

It is an arithmetic number, because the mean of its divisors is an integer number (1921397478).

Almost surely, 2^400775326560 is an apocalyptic number.

400775326560 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 400775326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830043710496).

400775326560 is an abundant number, since it is smaller than the sum of its proper divisors (1259312094432).

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

400775326560 is a wasteful number, since it uses less digits than its factorization.

400775326560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 400775326560 in words is "four hundred billion, seven hundred seventy-five million, three hundred twenty-six thousand, five hundred sixty".