41072488611840 has 1920 divisors, whose sum is σ = 172654299417600. Its totient is φ = 9172942848000.

The previous prime is 41072488611757. The next prime is 41072488611851. The reversal of 41072488611840 is 4811688427014.

41072488611840 is a `hidden beast` number, since 4 + 1 + 0 + 7 + 2 + 488 + 6 + 118 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 272003235765 + ... + 272003235915.

It is an arithmetic number, because the mean of its divisors is an integer number (89924114280).

Almost surely, 2^{41072488611840} is an apocalyptic number.

41072488611840 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 41072488611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86327149708800).

41072488611840 is an abundant number, since it is smaller than the sum of its proper divisors (131581810805760).

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

41072488611840 is an frugal number, since it uses more digits than its factorization.

41072488611840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 41072488611840 in words is "forty-one trillion, seventy-two billion, four hundred eighty-eight million, six hundred eleven thousand, eight hundred forty".