4960790006400 has 192 divisors, whose sum is σ = 18155113742400. Its totient is φ = 1322877312000.

The previous prime is 4960790006377. The next prime is 4960790006407. The reversal of 4960790006400 is 46000970694.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4960790006400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4960790006407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28621876 + ... + 28794675.

It is an arithmetic number, because the mean of its divisors is an integer number (94557884075).

Almost surely, 2^{4960790006400} is an apocalyptic number.

4960790006400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4960790006400 is an abundant number, since it is smaller than the sum of its proper divisors (13194323736000).

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

4960790006400 is a wasteful number, since it uses less digits than its factorization.

4960790006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57416584 (or 57416561 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 4960790006400 in words is "four trillion, nine hundred sixty billion, seven hundred ninety million, six thousand, four hundred".