41399424000 has 1056 divisors, whose sum is σ = 170170745472. Its totient is φ = 10036224000.

The previous prime is 41399423957. The next prime is 41399424013. The reversal of 41399424000 is 42499314.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

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, 3763583995 + ... + 3763584005.

Almost surely, 2^41399424000 is an apocalyptic number.

41399424000 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 41399424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85085372736).

41399424000 is an abundant number, since it is smaller than the sum of its proper divisors (128771321472).

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

41399424000 is an frugal number, since it uses more digits than its factorization.

41399424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

41399424000 divided by its product of nonzero digits (31104) gives a cube (1331000 = 110³).

The spelling of 41399424000 in words is "forty-one billion, three hundred ninety-nine million, four hundred twenty-four thousand".