542989121400 has 360 divisors, whose sum is σ = 2072918730960. Its totient is φ = 131633251200.

The previous prime is 542989121377. The next prime is 542989121443. The reversal of 542989121400 is 4121989245.

It is a happy number.

542989121400 is a `hidden beast` number, since 5 + 42 + 9 + 89 + 121 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1821697 + ... + 2098703.

It is an arithmetic number, because the mean of its divisors is an integer number (5758107586).

Almost surely, 2^542989121400 is an apocalyptic number.

542989121400 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 542989121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036459365480).

542989121400 is an abundant number, since it is smaller than the sum of its proper divisors (1529929609560).

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

542989121400 is a wasteful number, since it uses less digits than its factorization.

542989121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277057 (or 277028 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 542989121400 in words is "five hundred forty-two billion, nine hundred eighty-nine million, one hundred twenty-one thousand, four hundred".