40744125399200 has 72 divisors (see below), whose sum is σ = 99469661463900. Its totient is φ = 16297147904000.

The previous prime is 40744125399151. The next prime is 40744125399287. The reversal of 40744125399200 is 299352144704.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 29628382694416 + 11115742704784 = 5443196^2 + 3334028^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

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 11 ways as a sum of consecutive naturals, for example, 25751000 + ... + 27287400.

Almost surely, 2^{40744125399200} is an apocalyptic number.

40744125399200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40744125399200 is an abundant number, since it is smaller than the sum of its proper divisors (58725536064700).

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

40744125399200 is a wasteful number, since it uses less digits than its factorization.

40744125399200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569570 (or 1569557 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 40744125399200 in words is "forty trillion, seven hundred forty-four billion, one hundred twenty-five million, three hundred ninety-nine thousand, two hundred".