416400540470000 has 200 divisors, whose sum is σ = 1014885220272000. Its totient is φ = 165448404576000.

The previous prime is 416400540469993. The next prime is 416400540470059. The reversal of 416400540470000 is 74045004614.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-4 number, since 4×416400540470000⁴ (a number of 60 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2436444551 + ... + 2436615449.

It is an arithmetic number, because the mean of its divisors is an integer number (5074426101360).

Almost surely, 2^{416400540470000} is an apocalyptic number.

416400540470000 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 416400540470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507442610136000).

416400540470000 is an abundant number, since it is smaller than the sum of its proper divisors (598484679802000).

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

416400540470000 is a wasteful number, since it uses less digits than its factorization.

416400540470000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172553 (or 172532 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

Adding to 416400540470000 its reverse (74045004614), we get a palindrome (416474585474614).

The spelling of 416400540470000 in words is "four hundred sixteen trillion, four hundred billion, five hundred forty million, four hundred seventy thousand".