36410123408400 has 1920 divisors, whose sum is σ = 159335071902720. Its totient is φ = 7804167782400.

The previous prime is 36410123408363. The next prime is 36410123408437. The reversal of 36410123408400 is 480432101463.

36410123408400 is a `hidden beast` number, since 3 + 6 + 4 + 10 + 1 + 234 + 0 + 8 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (36410123408363) and next prime (36410123408437).

It is a super-2 number, since 2×36410123408400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41328175960 + ... + 41328176840.

It is an arithmetic number, because the mean of its divisors is an integer number (82987016616).

Almost surely, 2^{36410123408400} is an apocalyptic number.

36410123408400 is a gapful number since it is divisible by the number (30) 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 36410123408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79667535951360).

36410123408400 is an abundant number, since it is smaller than the sum of its proper divisors (122924948494320).

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

36410123408400 is a wasteful number, since it uses less digits than its factorization.

36410123408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 36410123408400 its reverse (480432101463), we get a palindrome (36890555509863).

The spelling of 36410123408400 in words is "thirty-six trillion, four hundred ten billion, one hundred twenty-three million, four hundred eight thousand, four hundred".