400666484400 has 360 divisors, whose sum is σ = 1588338339840. Its totient is φ = 84535925760.

The previous prime is 400666484377. The next prime is 400666484419. The reversal of 400666484400 is 4484666004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1278481 + ... + 1560719.

It is an arithmetic number, because the mean of its divisors is an integer number (4412050944).

Almost surely, 2^400666484400 is an apocalyptic number.

400666484400 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 400666484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794169169920).

400666484400 is an abundant number, since it is smaller than the sum of its proper divisors (1187671855440).

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

400666484400 is a wasteful number, since it uses less digits than its factorization.

400666484400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282293 (or 282269 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 400666484400 in words is "four hundred billion, six hundred sixty-six million, four hundred eighty-four thousand, four hundred".