554142230400 has 384 divisors, whose sum is σ = 1999991813760. Its totient is φ = 133739929600.

The previous prime is 554142230371. The next prime is 554142230407. The reversal of 554142230400 is 4032241455.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×554142230400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554142230407) 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, 23959642 + ... + 23982758.

It is an arithmetic number, because the mean of its divisors is an integer number (5208312015).

Almost surely, 2^554142230400 is an apocalyptic number.

554142230400 is a gapful number since it is divisible by the number (50) 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 554142230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999995906880).

554142230400 is an abundant number, since it is smaller than the sum of its proper divisors (1445849583360).

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

554142230400 is a wasteful number, since it uses less digits than its factorization.

554142230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23382 (or 23365 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 554142230400 its reverse (4032241455), we get a palindrome (558174471855).

The spelling of 554142230400 in words is "five hundred fifty-four billion, one hundred forty-two million, two hundred thirty thousand, four hundred".