41400706200 has 192 divisors, whose sum is σ = 149445077760. Its totient is φ = 9284421120.

The previous prime is 41400706189. The next prime is 41400706231. The reversal of 41400706200 is 260700414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 129607 + ... + 315593.

It is an arithmetic number, because the mean of its divisors is an integer number (778359780).

Almost surely, 2^41400706200 is an apocalyptic number.

41400706200 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 41400706200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74722538880).

41400706200 is an abundant number, since it is smaller than the sum of its proper divisors (108044371560).

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

41400706200 is a wasteful number, since it uses less digits than its factorization.

41400706200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186066 (or 186057 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 41400706200 in words is "forty-one billion, four hundred million, seven hundred six thousand, two hundred".