41461670600 has 384 divisors, whose sum is σ = 119692339200. Its totient is φ = 13036032000.

The previous prime is 41461670597. The next prime is 41461670633. The reversal of 41461670600 is 607616414.

41461670600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274580525 + ... + 274580675.

It is an arithmetic number, because the mean of its divisors is an integer number (311698800).

Almost surely, 2^41461670600 is an apocalyptic number.

41461670600 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 41461670600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59846169600).

41461670600 is an abundant number, since it is smaller than the sum of its proper divisors (78230668600).

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

41461670600 is a wasteful number, since it uses less digits than its factorization.

41461670600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 41461670600 in words is "forty-one billion, four hundred sixty-one million, six hundred seventy thousand, six hundred".