41970225024 has 384 divisors, whose sum is σ = 150049099200. Its totient is φ = 10964533248.

The previous prime is 41970224987. The next prime is 41970225041. The reversal of 41970225024 is 42052207914.

41970225024 is a `hidden beast` number, since 41 + 97 + 0 + 22 + 502 + 4 = 666.

41970225024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×41970225024² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41970225024.

It is a congruent number.

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, 11424852 + ... + 11428524.

Almost surely, 2^41970225024 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 41970225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75024549600).

41970225024 is an abundant number, since it is smaller than the sum of its proper divisors (108078874176).

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

41970225024 is a wasteful number, since it uses less digits than its factorization.

41970225024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 41970225024 in words is "forty-one billion, nine hundred seventy million, two hundred twenty-five thousand, twenty-four".