544921919942400 has 13824 divisors, whose sum is σ = 3016750915584000. Its totient is φ = 93650013388800.

The previous prime is 544921919942353. The next prime is 544921919942431. The reversal of 544921919942400 is 4249919129445.

544921919942400 is a `hidden beast` number, since 5 + 4 + 4 + 9 + 2 + 19 + 199 + 424 + 0 + 0 = 666.

It is a super-2 number, since 2×544921919942400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 6122718201556 + ... + 6122718201644.

It is an arithmetic number, because the mean of its divisors is an integer number (218225616000).

Almost surely, 2^{544921919942400} is an apocalyptic number.

544921919942400 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 544921919942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508375457792000).

544921919942400 is an abundant number, since it is smaller than the sum of its proper divisors (2471828995641600).

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

544921919942400 is a wasteful number, since it uses less digits than its factorization.

544921919942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 544921919942400 in words is "five hundred forty-four trillion, nine hundred twenty-one billion, nine hundred nineteen million, nine hundred forty-two thousand, four hundred".