4120968136400 has 60 divisors (see below), whose sum is σ = 10168210469292. Its totient is φ = 1603836241920.

The previous prime is 4120968136391. The next prime is 4120968136463. The reversal of 4120968136400 is 46318690214.

It can be written as a sum of positive squares in 6 ways, for example, as 205049574976 + 3915918561424 = 452824^2 + 1978868^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139207097 + ... + 139236696.

Almost surely, 2^{4120968136400} is an apocalyptic number.

4120968136400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4120968136400 is an abundant number, since it is smaller than the sum of its proper divisors (6047242332892).

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

4120968136400 is a wasteful number, since it uses less digits than its factorization.

4120968136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278443848 (or 278443837 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 4120968136400 in words is "four trillion, one hundred twenty billion, nine hundred sixty-eight million, one hundred thirty-six thousand, four hundred".