400382645760 has 640 divisors, whose sum is σ = 1518798504960. Its totient is φ = 99734519808.

The previous prime is 400382645731. The next prime is 400382645813. The reversal of 400382645760 is 67546283004.

400382645760 is a `hidden beast` number, since 40 + 0 + 38 + 2 + 6 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68356752 + ... + 68362608.

It is an arithmetic number, because the mean of its divisors is an integer number (2373122664).

Almost surely, 2^400382645760 is an apocalyptic number.

400382645760 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 400382645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759399252480).

400382645760 is an abundant number, since it is smaller than the sum of its proper divisors (1118415859200).

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

400382645760 is a wasteful number, since it uses less digits than its factorization.

400382645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 400382645760 in words is "four hundred billion, three hundred eighty-two million, six hundred forty-five thousand, seven hundred sixty".