4829026454400 has 384 divisors, whose sum is σ = 16836769699200. Its totient is φ = 1214417756160.

The previous prime is 4829026454383. The next prime is 4829026454479. The reversal of 4829026454400 is 44546209284.

It is a tau number, because it is divible by the number of its divisors (384).

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 4829026454400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11769507 + ... + 12172893.

It is an arithmetic number, because the mean of its divisors is an integer number (43845754425).

Almost surely, 2^{4829026454400} is an apocalyptic number.

4829026454400 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 4829026454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8418384849600).

4829026454400 is an abundant number, since it is smaller than the sum of its proper divisors (12007743244800).

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

4829026454400 is a wasteful number, since it uses less digits than its factorization.

4829026454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403486 (or 403469 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 4829026454400 in words is "four trillion, eight hundred twenty-nine billion, twenty-six million, four hundred fifty-four thousand, four hundred".