41976023040 has 1152 divisors, whose sum is σ = 182612102400. Its totient is φ = 8953528320.

The previous prime is 41976023039. The next prime is 41976023051. The reversal of 41976023040 is 4032067914.

41976023040 is a `hidden beast` number, since 4 + 1 + 9 + 7 + 602 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×41976023040² (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 junction number, because it is equal to n+sod(n) for n = 41976022986 and 41976023004.

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, 1023805420 + ... + 1023805460.

It is an arithmetic number, because the mean of its divisors is an integer number (158517450).

Almost surely, 2^41976023040 is an apocalyptic number.

41976023040 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 41976023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91306051200).

41976023040 is an abundant number, since it is smaller than the sum of its proper divisors (140636079360).

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

41976023040 is a wasteful number, since it uses less digits than its factorization.

41976023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 41976023040 in words is "forty-one billion, nine hundred seventy-six million, twenty-three thousand, forty".