41214348720 has 400 divisors, whose sum is σ = 148647628800. Its totient is φ = 10572249600.

The previous prime is 41214348691. The next prime is 41214348797. The reversal of 41214348720 is 2784341214.

41214348720 is a `hidden beast` number, since 4 + 12 + 143 + 487 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39974605 + ... + 39975635.

It is an arithmetic number, because the mean of its divisors is an integer number (371619072).

Almost surely, 2^41214348720 is an apocalyptic number.

41214348720 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 41214348720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74323814400).

41214348720 is an abundant number, since it is smaller than the sum of its proper divisors (107433280080).

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

41214348720 is a wasteful number, since it uses less digits than its factorization.

41214348720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 41214348720 its reverse (2784341214), we get a palindrome (43998689934).

The spelling of 41214348720 in words is "forty-one billion, two hundred fourteen million, three hundred forty-eight thousand, seven hundred twenty".