4661413026400 has 216 divisors, whose sum is σ = 12326611452624. Its totient is φ = 1720544716800.

The previous prime is 4661413026397. The next prime is 4661413026469. The reversal of 4661413026400 is 46203141664.

It is a self number, because there is not a number n which added to its sum of digits gives 4661413026400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 686407005 + ... + 686413795.

It is an arithmetic number, because the mean of its divisors is an integer number (57067645614).

Almost surely, 2^{4661413026400} is an apocalyptic number.

4661413026400 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 4661413026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163305726312).

4661413026400 is an abundant number, since it is smaller than the sum of its proper divisors (7665198426224).

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

4661413026400 is a wasteful number, since it uses less digits than its factorization.

4661413026400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11914 (or 11888 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 4661413026400 in words is "four trillion, six hundred sixty-one billion, four hundred thirteen million, twenty-six thousand, four hundred".