41611671552000 has 1440 divisors, whose sum is σ = 153504627075072. Its totient is φ = 10002432000000.

The previous prime is 41611671551971. The next prime is 41611671552053. The reversal of 41611671552000 is 25517611614.

It is a self number, because there is not a number n which added to its sum of digits gives 41611671552000.

It is a congruent number.

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, 165783551875 + ... + 165783552125.

Almost surely, 2^{41611671552000} is an apocalyptic number.

41611671552000 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 41611671552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76752313537536).

41611671552000 is an abundant number, since it is smaller than the sum of its proper divisors (111892955523072).

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

41611671552000 is a wasteful number, since it uses less digits than its factorization.

41611671552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The spelling of 41611671552000 in words is "forty-one trillion, six hundred eleven billion, six hundred seventy-one million, five hundred fifty-two thousand".