41392871520 has 1152 divisors, whose sum is σ = 184403423232. Its totient is φ = 7664025600.

The previous prime is 41392871483. The next prime is 41392871537. The reversal of 41392871520 is 2517829314.

It is a super-2 number, since 2×41392871520² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104263962 + ... + 104264358.

It is an arithmetic number, because the mean of its divisors is an integer number (160072416).

Almost surely, 2^41392871520 is an apocalyptic number.

41392871520 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 41392871520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92201711616).

41392871520 is an abundant number, since it is smaller than the sum of its proper divisors (143010551712).

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

41392871520 is a wasteful number, since it uses less digits than its factorization.

41392871520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 41392871520 in words is "forty-one billion, three hundred ninety-two million, eight hundred seventy-one thousand, five hundred twenty".