41211977412480 has 768 divisors, whose sum is σ = 165562109602560. Its totient is φ = 8659574784000.

The previous prime is 41211977412457. The next prime is 41211977412481. The reversal of 41211977412480 is 8421477911214.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41211977412481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68472855 + ... + 69072105.

It is an arithmetic number, because the mean of its divisors is an integer number (215575663545).

Almost surely, 2^{41211977412480} is an apocalyptic number.

41211977412480 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 41211977412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82781054801280).

41211977412480 is an abundant number, since it is smaller than the sum of its proper divisors (124350132190080).

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

41211977412480 is a wasteful number, since it uses less digits than its factorization.

41211977412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599347 (or 599328 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 41211977412480 in words is "forty-one trillion, two hundred eleven billion, nine hundred seventy-seven million, four hundred twelve thousand, four hundred eighty".