400010140200 has 768 divisors, whose sum is σ = 1425115929600. Its totient is φ = 91968307200.

The previous prime is 400010140169. The next prime is 400010140207. The reversal of 400010140200 is 2041010004.

It is a super-2 number, since 2×400010140200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (400010140207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2072591304 + ... + 2072591496.

It is an arithmetic number, because the mean of its divisors is an integer number (1855619700).

Almost surely, 2^400010140200 is an apocalyptic number.

400010140200 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 400010140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712557964800).

400010140200 is an abundant number, since it is smaller than the sum of its proper divisors (1025105789400).

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

400010140200 is a wasteful number, since it uses less digits than its factorization.

400010140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 400010140200 its reverse (2041010004), we get a palindrome (402051150204).

The spelling of 400010140200 in words is "four hundred billion, ten million, one hundred forty thousand, two hundred".