4951533350400 has 960 divisors, whose sum is σ = 20280699952128. Its totient is φ = 1036993167360.

The previous prime is 4951533350359. The next prime is 4951533350471. The reversal of 4951533350400 is 40533351594.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 478727629 + ... + 478737971.

Almost surely, 2^{4951533350400} is an apocalyptic number.

4951533350400 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 4951533350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10140349976064).

4951533350400 is an abundant number, since it is smaller than the sum of its proper divisors (15329166601728).

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

4951533350400 is a wasteful number, since it uses less digits than its factorization.

4951533350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10531 (or 10510 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 4951533350400 in words is "four trillion, nine hundred fifty-one billion, five hundred thirty-three million, three hundred fifty thousand, four hundred".