41440896000 has 880 divisors, whose sum is σ = 176812851072. Its totient is φ = 9455616000.

The previous prime is 41440895999. The next prime is 41440896023. The reversal of 41440896000 is 69804414.

It is a happy number.

41440896000 is a `hidden beast` number, since 4 + 1 + 4 + 40 + 8 + 9 + 600 + 0 = 666.

It is a super-2 number, since 2×41440896000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72575715 + ... + 72576285.

Almost surely, 2^41440896000 is an apocalyptic number.

41440896000 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 41440896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88406425536).

41440896000 is an abundant number, since it is smaller than the sum of its proper divisors (135371955072).

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

41440896000 is an equidigital number, since it uses as much as digits as its factorization.

41440896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41440896000 in words is "forty-one billion, four hundred forty million, eight hundred ninety-six thousand".