40135244992200 has 108 divisors (see below), whose sum is σ = 134788433762385. Its totient is φ = 10702660322880.

The previous prime is 40135244992153. The next prime is 40135244992207. The reversal of 40135244992200 is 229944253104.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

40135244992200 is a `hidden beast` number, since 4 + 0 + 1 + 352 + 4 + 4 + 9 + 92 + 200 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39332540092356 + 802704899844 = 6271566^2 + 895938^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4479690.

It is a super-2 number, since 2×40135244992200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40135244992207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 268706739 + ... + 268856061.

Almost surely, 2^{40135244992200} is an apocalyptic number.

40135244992200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40135244992200 is an abundant number, since it is smaller than the sum of its proper divisors (94653188770185).

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

40135244992200 is an frugal number, since it uses more digits than its factorization.

40135244992200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298668 (or 149333 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 40135244992200 in words is "forty trillion, one hundred thirty-five billion, two hundred forty-four million, nine hundred ninety-two thousand, two hundred".