40443404001000 has 2048 divisors, whose sum is σ = 175048372961280. Its totient is φ = 7502284800000.

The previous prime is 40443404000977. The next prime is 40443404001029. The reversal of 40443404001000 is 10040434404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 20111089995 + ... + 20111092005.

It is an arithmetic number, because the mean of its divisors is an integer number (85472838360).

Almost surely, 2^{40443404001000} is an apocalyptic number.

40443404001000 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 40443404001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87524186480640).

40443404001000 is an abundant number, since it is smaller than the sum of its proper divisors (134604968960280).

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

40443404001000 is a wasteful number, since it uses less digits than its factorization.

40443404001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40443404001000 its reverse (10040434404), we get a palindrome (40453444435404).

The spelling of 40443404001000 in words is "forty trillion, four hundred forty-three billion, four hundred four million, one thousand".