41070377041920 has 1824 divisors, whose sum is σ = 162059544391680. Its totient is φ = 9567039651840.

The previous prime is 41070377041919. The next prime is 41070377041927. The reversal of 41070377041920 is 2914077307014.

It is a tau number, because it is divible by the number of its divisors (1824).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41070377041927) 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, 159806914432 + ... + 159806914688.

Almost surely, 2^{41070377041920} is an apocalyptic number.

41070377041920 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 41070377041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81029772195840).

41070377041920 is an abundant number, since it is smaller than the sum of its proper divisors (120989167349760).

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

41070377041920 is a wasteful number, since it uses less digits than its factorization.

41070377041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 41070377041920 in words is "forty-one trillion, seventy billion, three hundred seventy-seven million, forty-one thousand, nine hundred twenty".