554240042400 has 576 divisors, whose sum is σ = 2042250537600. Its totient is φ = 129325056000.

The previous prime is 554240042399. The next prime is 554240042479. The reversal of 554240042400 is 4240042455.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 297817470 + ... + 297819330.

It is an arithmetic number, because the mean of its divisors is an integer number (3545573850).

Almost surely, 2^554240042400 is an apocalyptic number.

554240042400 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 554240042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021125268800).

554240042400 is an abundant number, since it is smaller than the sum of its proper divisors (1488010495200).

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

554240042400 is a wasteful number, since it uses less digits than its factorization.

554240042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 554240042400 its reverse (4240042455), we get a palindrome (558480084855).

Subtracting from 554240042400 its reverse (4240042455), we obtain a palindrome (549999999945).

The spelling of 554240042400 in words is "five hundred fifty-four billion, two hundred forty million, forty-two thousand, four hundred".