41607456000 has 864 divisors, whose sum is σ = 159582503808. Its totient is φ = 9523200000.

The previous prime is 41607455983. The next prime is 41607456001. The reversal of 41607456000 is 65470614.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41607456001) 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, 1014815980 + ... + 1014816020.

It is an arithmetic number, because the mean of its divisors is an integer number (184701972).

Almost surely, 2^41607456000 is an apocalyptic number.

41607456000 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 41607456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79791251904).

41607456000 is an abundant number, since it is smaller than the sum of its proper divisors (117975047808).

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

41607456000 is a wasteful number, since it uses less digits than its factorization.

41607456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 41607456000 in words is "forty-one billion, six hundred seven million, four hundred fifty-six thousand".