424120040021400 has 192 divisors, whose sum is σ = 1339123017427200. Its totient is φ = 111009902645760.

The previous prime is 424120040021399. The next prime is 424120040021413. The reversal of 424120040021400 is 4120040021424.

It is a super-3 number, since 3×424120040021400³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13645074 + ... + 32162526.

It is an arithmetic number, because the mean of its divisors is an integer number (6974599049100).

Almost surely, 2^{424120040021400} is an apocalyptic number.

424120040021400 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 424120040021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669561508713600).

424120040021400 is an abundant number, since it is smaller than the sum of its proper divisors (915002977405800).

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

424120040021400 is a wasteful number, since it uses less digits than its factorization.

424120040021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18518178 (or 18518169 counting only the distinct ones).

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

Adding to 424120040021400 its sum of digits (24), we get a palindrome (424120040021424).

Adding to 424120040021400 its reverse (4120040021424), we get a palindrome (428240080042824).

The spelling of 424120040021400 in words is "four hundred twenty-four trillion, one hundred twenty billion, forty million, twenty-one thousand, four hundred".