424144001400 has 192 divisors, whose sum is σ = 1523267385600. Its totient is φ = 95619087360.

The previous prime is 424144001399. The next prime is 424144001401. The reversal of 424144001400 is 4100441424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (424144001399) and next prime (424144001401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424144001401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385090 + ... + 998289.

It is an arithmetic number, because the mean of its divisors is an integer number (7933684300).

Almost surely, 2^424144001400 is an apocalyptic number.

424144001400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424144001400 is an abundant number, since it is smaller than the sum of its proper divisors (1099123384200).

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

424144001400 is a wasteful number, since it uses less digits than its factorization.

424144001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383478 (or 1383469 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 424144001400 its reverse (4100441424), we get a palindrome (428244442824).

The spelling of 424144001400 in words is "four hundred twenty-four billion, one hundred forty-four million, one thousand, four hundred".