400270642200 has 1536 divisors, whose sum is σ = 1747088179200. Its totient is φ = 82798848000.

The previous prime is 400270642193. The next prime is 400270642229. The reversal of 400270642200 is 2246072004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 550578237 + ... + 550578963.

It is an arithmetic number, because the mean of its divisors is an integer number (1137427200).

Almost surely, 2^400270642200 is an apocalyptic number.

400270642200 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 400270642200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873544089600).

400270642200 is an abundant number, since it is smaller than the sum of its proper divisors (1346817537000).

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

400270642200 is a wasteful number, since it uses less digits than its factorization.

400270642200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 400270642200 in words is "four hundred billion, two hundred seventy million, six hundred forty-two thousand, two hundred".