41096951753440 has 384 divisors, whose sum is σ = 114473030353920. Its totient is φ = 13801343395840.

The previous prime is 41096951753393. The next prime is 41096951753441. The reversal of 41096951753440 is 4435715969014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41096951753441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 987245907 + ... + 987287533.

It is an arithmetic number, because the mean of its divisors is an integer number (298106849880).

Almost surely, 2^{41096951753440} is an apocalyptic number.

41096951753440 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 41096951753440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57236515176960).

41096951753440 is an abundant number, since it is smaller than the sum of its proper divisors (73376078600480).

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

41096951753440 is a wasteful number, since it uses less digits than its factorization.

41096951753440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41763 (or 41697 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 58.

The spelling of 41096951753440 in words is "forty-one trillion, ninety-six billion, nine hundred fifty-one million, seven hundred fifty-three thousand, four hundred forty".