40214333400 has 192 divisors, whose sum is σ = 127911813120. Its totient is φ = 10445337600.

The previous prime is 40214333399. The next prime is 40214333431. The reversal of 40214333400 is 433341204.

It is a super-2 number, since 2×40214333400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24180969 + ... + 24182631.

It is an arithmetic number, because the mean of its divisors is an integer number (666207360).

Almost surely, 2^40214333400 is an apocalyptic number.

40214333400 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 40214333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63955906560).

40214333400 is an abundant number, since it is smaller than the sum of its proper divisors (87697479720).

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

40214333400 is a wasteful number, since it uses less digits than its factorization.

40214333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 40214333400 its reverse (433341204), we get a palindrome (40647674604).

The spelling of 40214333400 in words is "forty billion, two hundred fourteen million, three hundred thirty-three thousand, four hundred".