42208633664400 has 480 divisors, whose sum is σ = 154961428976640. Its totient is φ = 9620394485760.

The previous prime is 42208633664273. The next prime is 42208633664423. The reversal of 42208633664400 is 446633680224.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42208633664400.

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, 7763218482 + ... + 7763223918.

It is an arithmetic number, because the mean of its divisors is an integer number (322836310368).

Almost surely, 2^{42208633664400} is an apocalyptic number.

42208633664400 is a gapful number since it is divisible by the number (40) 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 42208633664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77480714488320).

42208633664400 is an abundant number, since it is smaller than the sum of its proper divisors (112752795312240).

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

42208633664400 is a wasteful number, since it uses less digits than its factorization.

42208633664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 42208633664400 in words is "forty-two trillion, two hundred eight billion, six hundred thirty-three million, six hundred sixty-four thousand, four hundred".