41420332800 has 1296 divisors, whose sum is σ = 191470800640. Its totient is φ = 8576409600.

The previous prime is 41420332757. The next prime is 41420332829. The reversal of 41420332800 is 823302414.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 146361459 + ... + 146361741.

Almost surely, 2^41420332800 is an apocalyptic number.

41420332800 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 41420332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95735400320).

41420332800 is an abundant number, since it is smaller than the sum of its proper divisors (150050467840).

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

41420332800 is a wasteful number, since it uses less digits than its factorization.

41420332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 41420332800 in words is "forty-one billion, four hundred twenty million, three hundred thirty-two thousand, eight hundred".