40405252352000 has 192 divisors, whose sum is σ = 100915072549200. Its totient is φ = 16147965542400.

The previous prime is 40405252351927. The next prime is 40405252352011. The reversal of 40405252352000 is 25325250404.

It can be written as a sum of positive squares in 8 ways, for example, as 788600833024 + 39616651518976 = 888032^2 + 6294176^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295099556 + ... + 295236444.

Almost surely, 2^{40405252352000} is an apocalyptic number.

40405252352000 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 40405252352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50457536274600).

40405252352000 is an abundant number, since it is smaller than the sum of its proper divisors (60509820197200).

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

40405252352000 is a wasteful number, since it uses less digits than its factorization.

40405252352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138079 (or 138049 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The spelling of 40405252352000 in words is "forty trillion, four hundred five billion, two hundred fifty-two million, three hundred fifty-two thousand".