400365866880 has 1152 divisors, whose sum is σ = 1678162898880. Its totient is φ = 89436192768.

The previous prime is 400365866867. The next prime is 400365866881. The reversal of 400365866880 is 88668563004.

400365866880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400365866881) 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, 1557843712 + ... + 1557843968.

Almost surely, 2^400365866880 is an apocalyptic number.

400365866880 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 400365866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839081449440).

400365866880 is an abundant number, since it is smaller than the sum of its proper divisors (1277797032000).

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

400365866880 is an frugal number, since it uses more digits than its factorization.

400365866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 400365866880 in words is "four hundred billion, three hundred sixty-five million, eight hundred sixty-six thousand, eight hundred eighty".