41005001456400 has 240 divisors, whose sum is σ = 139458304882944. Its totient is φ = 10263407370240.

The previous prime is 41005001456351. The next prime is 41005001456407. The reversal of 41005001456400 is 465410050014.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×41005001456400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (41005001456407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4748314 + ... + 10225286.

Almost surely, 2^{41005001456400} is an apocalyptic number.

41005001456400 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 41005001456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69729152441472).

41005001456400 is an abundant number, since it is smaller than the sum of its proper divisors (98453303426544).

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

41005001456400 is a wasteful number, since it uses less digits than its factorization.

41005001456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5477378 (or 5477367 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 41005001456400 in words is "forty-one trillion, five billion, one million, four hundred fifty-six thousand, four hundred".