41293070400 has 168 divisors, whose sum is σ = 135608043744. Its totient is φ = 11000729600.

The previous prime is 41293070383. The next prime is 41293070407. The reversal of 41293070400 is 407039214.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (41293070407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5722795 + ... + 5730005.

Almost surely, 2^41293070400 is an apocalyptic number.

41293070400 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 41293070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67804021872).

41293070400 is an abundant number, since it is smaller than the sum of its proper divisors (94314973344).

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

41293070400 is a wasteful number, since it uses less digits than its factorization.

41293070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8429 (or 8414 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 41293070400 in words is "forty-one billion, two hundred ninety-three million, seventy thousand, four hundred".