40572273277200 has 240 divisors, whose sum is σ = 148920987303936. Its totient is φ = 9249448512000.

The previous prime is 40572273277199. The next prime is 40572273277213. The reversal of 40572273277200 is 277237227504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×40572273277200² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40572273277200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3088326 + ... + 9522725.

Almost surely, 2^{40572273277200} is an apocalyptic number.

40572273277200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40572273277200 is an abundant number, since it is smaller than the sum of its proper divisors (108348714026736).

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

40572273277200 is a wasteful number, since it uses less digits than its factorization.

40572273277200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12611462 (or 12611451 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 48.

The spelling of 40572273277200 in words is "forty trillion, five hundred seventy-two billion, two hundred seventy-three million, two hundred seventy-seven thousand, two hundred".