40213524529152 has 1680 divisors, whose sum is σ = 140311953418560. Its totient is φ = 11413434138624.

The previous prime is 40213524529151. The next prime is 40213524529253. The reversal of 40213524529152 is 25192542531204.

40213524529152 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 352 + 4 + 5 + 291 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40213524529098 and 40213524529107.

It is not an unprimeable number, because it can be changed into a prime (40213524529151) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 126856544098 + ... + 126856544414.

It is an arithmetic number, because the mean of its divisors is an integer number (83519019892).

Almost surely, 2^{40213524529152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40213524529152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70155976709280).

40213524529152 is an abundant number, since it is smaller than the sum of its proper divisors (100098428889408).

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

40213524529152 is an equidigital number, since it uses as much as digits as its factorization.

40213524529152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 40213524529152 in words is "forty trillion, two hundred thirteen billion, five hundred twenty-four million, five hundred twenty-nine thousand, one hundred fifty-two".