410863648028400 has 2400 divisors, whose sum is σ = 1804817457146880. Its totient is φ = 87474122588160.

The previous prime is 410863648028387. The next prime is 410863648028429. The reversal of 410863648028400 is 4820846368014.

It is a happy number.

410863648028400 is a `hidden beast` number, since 4 + 1 + 0 + 86 + 3 + 6 + 480 + 2 + 84 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 79179733006 + ... + 79179738194.

Almost surely, 2^{410863648028400} is an apocalyptic number.

410863648028400 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 410863648028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902408728573440).

410863648028400 is an abundant number, since it is smaller than the sum of its proper divisors (1393953809118480).

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

410863648028400 is a wasteful number, since it uses less digits than its factorization.

410863648028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645 (or 5625 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 410863648028400 in words is "four hundred ten trillion, eight hundred sixty-three billion, six hundred forty-eight million, twenty-eight thousand, four hundred".