41814788400 has 360 divisors, whose sum is σ = 180916230144. Its totient is φ = 8688729600.

The previous prime is 41814788359. The next prime is 41814788413. The reversal of 41814788400 is 488741814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 201777 + ... + 352623.

Almost surely, 2^41814788400 is an apocalyptic number.

41814788400 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 41814788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90458115072).

41814788400 is an abundant number, since it is smaller than the sum of its proper divisors (139101441744).

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

41814788400 is a wasteful number, since it uses less digits than its factorization.

41814788400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150889 (or 150875 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 41814788400 in words is "forty-one billion, eight hundred fourteen million, seven hundred eighty-eight thousand, four hundred".