41409451200 has 672 divisors, whose sum is σ = 157152441600. Its totient is φ = 9460039680.

The previous prime is 41409451099. The next prime is 41409451231. The reversal of 41409451200 is 215490414.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62836471 + ... + 62837129.

It is an arithmetic number, because the mean of its divisors is an integer number (233857800).

Almost surely, 2^41409451200 is an apocalyptic number.

41409451200 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 41409451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78576220800).

41409451200 is an abundant number, since it is smaller than the sum of its proper divisors (115742990400).

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

41409451200 is a wasteful number, since it uses less digits than its factorization.

41409451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 41409451200 in words is "forty-one billion, four hundred nine million, four hundred fifty-one thousand, two hundred".