4680948400128 has 2160 divisors, whose sum is σ = 19387222055040. Its totient is φ = 1086101913600.

The previous prime is 4680948400069. The next prime is 4680948400133. The reversal of 4680948400128 is 8210048490864.

It is a happy number.

4680948400128 is a `hidden beast` number, since 468 + 0 + 94 + 84 + 0 + 0 + 12 + 8 = 666.

It is a super-2 number, since 2×4680948400128² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150998335473 + ... + 150998335503.

Almost surely, 2^{4680948400128} is an apocalyptic number.

4680948400128 is a gapful number since it is divisible by the number (48) 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 4680948400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9693611027520).

4680948400128 is an abundant number, since it is smaller than the sum of its proper divisors (14706273654912).

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

4680948400128 is a wasteful number, since it uses less digits than its factorization.

4680948400128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 4680948400128 in words is "four trillion, six hundred eighty billion, nine hundred forty-eight million, four hundred thousand, one hundred twenty-eight".