41420907136800 has 216 divisors, whose sum is σ = 146111670074916. Its totient is φ = 11041703608320.

The previous prime is 41420907136783. The next prime is 41420907136933. The reversal of 41420907136800 is 863170902414.

41420907136800 is a `hidden beast` number, since 4 + 1 + 420 + 90 + 7 + 136 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11956463827344 + 29464443309456 = 3457812^2 + 5428116^2 .

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 35 ways as a sum of consecutive naturals, for example, 19563592 + ... + 21577208.

Almost surely, 2^{41420907136800} is an apocalyptic number.

41420907136800 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 41420907136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73055835037458).

41420907136800 is an abundant number, since it is smaller than the sum of its proper divisors (104690762938116).

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

41420907136800 is a wasteful number, since it uses less digits than its factorization.

41420907136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016500 (or 2016484 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 41420907136800 in words is "forty-one trillion, four hundred twenty billion, nine hundred seven million, one hundred thirty-six thousand, eight hundred".