41653286400 has 480 divisors, whose sum is σ = 154998936576. Its totient is φ = 9768960000.

The previous prime is 41653286393. The next prime is 41653286407. The reversal of 41653286400 is 468235614.

It is an interprime number because it is at equal distance from previous prime (41653286393) and next prime (41653286407).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41653286407) 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, 13092810 + ... + 13095990.

Almost surely, 2^41653286400 is an apocalyptic number.

41653286400 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 41653286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77499468288).

41653286400 is an abundant number, since it is smaller than the sum of its proper divisors (113345650176).

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

41653286400 is a wasteful number, since it uses less digits than its factorization.

41653286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 41653286400 in words is "forty-one billion, six hundred fifty-three million, two hundred eighty-six thousand, four hundred".