41514367680 has 336 divisors, whose sum is σ = 155496463200. Its totient is φ = 10125803520.

The previous prime is 41514367627. The next prime is 41514367691. The reversal of 41514367680 is 8676341514.

41514367680 is a `hidden beast` number, since 4 + 151 + 436 + 7 + 68 + 0 = 666.

41514367680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1573800 + ... + 1599960.

Almost surely, 2^41514367680 is an apocalyptic number.

41514367680 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 41514367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77748231600).

41514367680 is an abundant number, since it is smaller than the sum of its proper divisors (113982095520).

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

41514367680 is a wasteful number, since it uses less digits than its factorization.

41514367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26232 (or 26219 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 41514367680 in words is "forty-one billion, five hundred fourteen million, three hundred sixty-seven thousand, six hundred eighty".