41077449000 has 1536 divisors, whose sum is σ = 183162470400. Its totient is φ = 8398080000.

The previous prime is 41077448987. The next prime is 41077449029. The reversal of 41077449000 is 94477014.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1001888980 + ... + 1001889020.

It is an arithmetic number, because the mean of its divisors is an integer number (119246400).

Almost surely, 2^41077449000 is an apocalyptic number.

41077449000 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 41077449000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91581235200).

41077449000 is an abundant number, since it is smaller than the sum of its proper divisors (142085021400).

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

41077449000 is a wasteful number, since it uses less digits than its factorization.

41077449000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 41077449000 in words is "forty-one billion, seventy-seven million, four hundred forty-nine thousand".