542421568416000 has 1152 divisors, whose sum is σ = 2225434423919616. Its totient is φ = 114031322726400.

The previous prime is 542421568415999. The next prime is 542421568416031. The reversal of 542421568416000 is 614865124245.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2419759924 + ... + 2419984076.

It is an arithmetic number, because the mean of its divisors is an integer number (1931800715208).

Almost surely, 2^{542421568416000} is an apocalyptic number.

542421568416000 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 542421568416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112717211959808).

542421568416000 is an abundant number, since it is smaller than the sum of its proper divisors (1683012855503616).

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

542421568416000 is a wasteful number, since it uses less digits than its factorization.

542421568416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224484 (or 224460 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 542421568416000 in words is "five hundred forty-two trillion, four hundred twenty-one billion, five hundred sixty-eight million, four hundred sixteen thousand".