41296780800 has 1440 divisors, whose sum is σ = 179525009664. Its totient is φ = 9289728000.

The previous prime is 41296780799. The next prime is 41296780823. The reversal of 41296780800 is 808769214.

41296780800 is a `hidden beast` number, since 412 + 96 + 78 + 0 + 80 + 0 = 666.

41296780800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 581644765 + ... + 581644835.

Almost surely, 2^41296780800 is an apocalyptic number.

41296780800 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 41296780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89762504832).

41296780800 is an abundant number, since it is smaller than the sum of its proper divisors (138228228864).

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

41296780800 is a wasteful number, since it uses less digits than its factorization.

41296780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 41296780800 in words is "forty-one billion, two hundred ninety-six million, seven hundred eighty thousand, eight hundred".