410620304640 has 576 divisors, whose sum is σ = 1636265627136. Its totient is φ = 85444263936.

The previous prime is 410620304603. The next prime is 410620304681. The reversal of 410620304640 is 46403026014.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 410620304598 and 410620304607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25501072 + ... + 25517168.

It is an arithmetic number, because the mean of its divisors is an integer number (2840738936).

Almost surely, 2^410620304640 is an apocalyptic number.

410620304640 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 410620304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818132813568).

410620304640 is an abundant number, since it is smaller than the sum of its proper divisors (1225645322496).

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

410620304640 is a wasteful number, since it uses less digits than its factorization.

410620304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16214 (or 16200 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 410620304640 in words is "four hundred ten billion, six hundred twenty million, three hundred four thousand, six hundred forty".