40275493171200 has 936 divisors, whose sum is σ = 167190426913536. Its totient is φ = 9076064256000.

The previous prime is 40275493171171. The next prime is 40275493171211. The reversal of 40275493171200 is 217139457204.

40275493171200 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 549 + 31 + 71 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 457991235 + ... + 458079165.

It is an arithmetic number, because the mean of its divisors is an integer number (178622250976).

Almost surely, 2^{40275493171200} is an apocalyptic number.

40275493171200 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 40275493171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83595213456768).

40275493171200 is an abundant number, since it is smaller than the sum of its proper divisors (126914933742336).

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

40275493171200 is a wasteful number, since it uses less digits than its factorization.

40275493171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88049 (or 88019 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 40275493171200 in words is "forty trillion, two hundred seventy-five billion, four hundred ninety-three million, one hundred seventy-one thousand, two hundred".