41127537972000 has 192 divisors, whose sum is σ = 134749821024000. Its totient is φ = 10966040524800.

The previous prime is 41127537971899. The next prime is 41127537972013. The reversal of 41127537972000 is 27973572114.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102988716 + ... + 103387284.

It is an arithmetic number, because the mean of its divisors is an integer number (701821984500).

Almost surely, 2^{41127537972000} is an apocalyptic number.

41127537972000 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 41127537972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67374910512000).

41127537972000 is an abundant number, since it is smaller than the sum of its proper divisors (93622283052000).

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

41127537972000 is a wasteful number, since it uses less digits than its factorization.

41127537972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407196 (or 407178 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 41127537972000 in words is "forty-one trillion, one hundred twenty-seven billion, five hundred thirty-seven million, nine hundred seventy-two thousand".