4967628614400 has 432 divisors, whose sum is σ = 18007399952640. Its totient is φ = 1200413491200.

The previous prime is 4967628614329. The next prime is 4967628614449. The reversal of 4967628614400 is 44168267694.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 8094370 + ... + 8686430.

Almost surely, 2^{4967628614400} is an apocalyptic number.

4967628614400 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 4967628614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9003699976320).

4967628614400 is an abundant number, since it is smaller than the sum of its proper divisors (13039771338240).

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

4967628614400 is a wasteful number, since it uses less digits than its factorization.

4967628614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592132 (or 592113 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 4967628614400 in words is "four trillion, nine hundred sixty-seven billion, six hundred twenty-eight million, six hundred fourteen thousand, four hundred".