4043142020400 has 240 divisors, whose sum is σ = 14813326719744. Its totient is φ = 923423984640.

The previous prime is 4043142020399. The next prime is 4043142020453. The reversal of 4043142020400 is 40202413404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 10589622 + ... + 10964778.

Almost surely, 2^{4043142020400} is an apocalyptic number.

4043142020400 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 4043142020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406663359872).

4043142020400 is an abundant number, since it is smaller than the sum of its proper divisors (10770184699344).

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

4043142020400 is a wasteful number, since it uses less digits than its factorization.

4043142020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376468 (or 376457 counting only the distinct ones).

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

Adding to 4043142020400 its reverse (40202413404), we get a palindrome (4083344433804).

The spelling of 4043142020400 in words is "four trillion, forty-three billion, one hundred forty-two million, twenty thousand, four hundred".