400202166000 has 320 divisors, whose sum is σ = 1588004361216. Its totient is φ = 84438144000.

The previous prime is 400202165963. The next prime is 400202166047. The reversal of 400202166000 is 661202004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 179515 + ... + 912485.

Almost surely, 2^400202166000 is an apocalyptic number.

400202166000 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 400202166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794002180608).

400202166000 is an abundant number, since it is smaller than the sum of its proper divisors (1187802195216).

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

400202166000 is a wasteful number, since it uses less digits than its factorization.

400202166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733017 (or 733001 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 400202166000 its reverse (661202004), we get a palindrome (400863368004).

The spelling of 400202166000 in words is "four hundred billion, two hundred two million, one hundred sixty-six thousand".