41972008320 has 768 divisors, whose sum is σ = 164563176960. Its totient is φ = 9768960000.

The previous prime is 41972008307. The next prime is 41972008391. The reversal of 41972008320 is 2380027914.

41972008320 is a `hidden beast` number, since 41 + 97 + 200 + 8 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277960245 + ... + 277960395.

It is an arithmetic number, because the mean of its divisors is an integer number (214274970).

Almost surely, 2^41972008320 is an apocalyptic number.

41972008320 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 41972008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82281588480).

41972008320 is an abundant number, since it is smaller than the sum of its proper divisors (122591168640).

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

41972008320 is a wasteful number, since it uses less digits than its factorization.

41972008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 41972008320 in words is "forty-one billion, nine hundred seventy-two million, eight thousand, three hundred twenty".