40212339342400 has 189 divisors, whose sum is σ = 100690461756469. Its totient is φ = 15806424962560.

The previous prime is 40212339342367. The next prime is 40212339342481. The reversal of 40212339342400 is 424393321204.

The square root of 40212339342400 is 6341320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14476442163264 + 25735897179136 = 3804792^2 + 5073056^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40212339342400.

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 26 ways as a sum of consecutive naturals, for example, 14965513857 + ... + 14965516543.

Almost surely, 2^{40212339342400} is an apocalyptic number.

40212339342400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40212339342400 is the 6341320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40212339342400

40212339342400 is an abundant number, since it is smaller than the sum of its proper divisors (60478122414069).

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

40212339342400 is an frugal number, since it uses more digits than its factorization.

40212339342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 40212339342400 in words is "forty trillion, two hundred twelve billion, three hundred thirty-nine million, three hundred forty-two thousand, four hundred".