542314454400 has 144 divisors (see below), whose sum is σ = 1935102356460. Its totient is φ = 144617180160.

The previous prime is 542314454393. The next prime is 542314454401. The reversal of 542314454400 is 4454413245.

542314454400 is a `hidden beast` number, since 5 + 42 + 31 + 44 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542314454401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9386382 + ... + 9443981.

Almost surely, 2^542314454400 is an apocalyptic number.

542314454400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542314454400 is an abundant number, since it is smaller than the sum of its proper divisors (1392787902060).

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

542314454400 is a wasteful number, since it uses less digits than its factorization.

542314454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18830393 (or 18830373 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 542314454400 its reverse (4454413245), we get a palindrome (546768867645).

The spelling of 542314454400 in words is "five hundred forty-two billion, three hundred fourteen million, four hundred fifty-four thousand, four hundred".