40266019200 has 384 divisors, whose sum is σ = 146211891840. Its totient is φ = 9658368000.

The previous prime is 40266019181. The next prime is 40266019207. The reversal of 40266019200 is 291066204.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40266019207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10241235 + ... + 10245165.

It is an arithmetic number, because the mean of its divisors is an integer number (380760135).

Almost surely, 2^40266019200 is an apocalyptic number.

40266019200 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 40266019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73105945920).

40266019200 is an abundant number, since it is smaller than the sum of its proper divisors (105945872640).

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

40266019200 is a wasteful number, since it uses less digits than its factorization.

40266019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 40266019200 in words is "forty billion, two hundred sixty-six million, nineteen thousand, two hundred".