40286450073600 has 2160 divisors, whose sum is σ = 160185269986560. Its totient is φ = 9633477427200.

The previous prime is 40286450073589. The next prime is 40286450073601. The reversal of 40286450073600 is 637005468204.

40286450073600 is a `hidden beast` number, since 4 + 0 + 2 + 86 + 4 + 500 + 7 + 3 + 60 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40286450073601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 172903219084 + ... + 172903219316.

It is an arithmetic number, because the mean of its divisors is an integer number (74159847216).

Almost surely, 2^{40286450073600} is an apocalyptic number.

40286450073600 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 40286450073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80092634993280).

40286450073600 is an abundant number, since it is smaller than the sum of its proper divisors (119898819912960).

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

40286450073600 is a wasteful number, since it uses less digits than its factorization.

40286450073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 40286450073600 in words is "forty trillion, two hundred eighty-six billion, four hundred fifty million, seventy-three thousand, six hundred".